Can someone explain how to simplify radicals? (Please leave an example) Im so confused!!

Answers

Answer 1

Answer:

Sure!

Step-by-step explanation:

So a radical(or a root) is the opposite of the exponent(for example square root is the opposite of the square of a number). Graphically it's not but it's more simple to think of it like that. Simplifying integer radicals is simple. For example, the square of 11 is 121, so sqr121 (√121) is equal to 11. Other radicals/powers are similar. cuberoot27= 3 because 3^3 is 27. If you add variables, the same thing happens. You can think of the √ as a funnel where only the numbers "big enough" can leave. If you have √xy^2z^3,

the x would have to stay because it's only to the first power, the √y^2 would be reduced to just y, and one pair of zs can come out resulting in z√z. The final answer to √xy^2z^3 would be yz√xz. Hope that helps :)


Related Questions

the following shape has 1 pair of parallel sides 2, 7, 3, 8

Answers

Answer:

I think it's 8

Step-by-step explanation:

because if you think of an octagon it has eight sides and the only parallel sides is pn the top of the octagon and the bottom of the octagon

Tamara attends a cycling class that starts at 6:00. The class lasts 45 minutes. What time does class end?

Answers

Answer:

6:45

Step-by-step explanation: add 45 min to 6:00 and you have your answer

Answer:6:45

Step-by-step explanation: 6:00 + 45minutes would be 6:45

A figure is made up of a triangle and a rectangle. The triangle has a height of 8 inches and a base of 9 inches. The rectangle has dimensions of 7 inches×9 inches. What is the area of the figure?

Answers

Step-by-step explanation:

area of triangles

1/2*9*8= 36

area of.rectangle

8*9= 72

36+72=108 square inches

Candice has already taken 5 pictures at home, and she expects to take 1 picture during every day of vacation. How many days will Candice have to spend on vacation before she will have taken 7 pictures?

Answers

Answer:

2 days.

Step-by-step explanation:

Candice has already taken 5 pictures total, so if she needs to have seven in total she will only have to go on vacation for two days.

The graph of $y = f(x)$ is symmetric across the line $x = 5$. The graph also passes through the point $(8,-7).$ Find another point that must lie on the graph of $y = f(x).$

Answers

Because we know one point and an axis of symmetry, we know that the point (2, -7) must lie on the graph.

Which other point must lie on the graph?

If a function has a line of symmetry at x = x₀, then we know that:

f(x₀ + x) = f(x₀ - x).

So we have symmetry around that line.

Then, if the line of symmetry is at x = 5 and we know that:

f(8) = f(5 + 3) = -7

We also must have:

f(2) = f(5 - 3) = -7

Then the point (2, - 7) must be on the graph.

If you want to learn more about symmetry you can read:

https://brainly.com/question/11408596

Find the area of the trapezoid shown below. {?} square feet

Answers

Answer:

432

Step-by-step explanation:

n the past you paid $800 per month to rent your apartment. You now pay $900 per month for your rent. What is the percent increase in your rent?

Answers

Answer:

12.5%

Step-by-step explanation:

900 - 800 = 100

Gotta pay $100 more

100 / 800 = 0.125

2 Which set of side lengths will form a triangle?
16 ft, 4 ft, 21 ft.
6 30 ft, 30 ft, 60 ft
12 ft, 12 ft, 20 ft
3ft, 5 ft, 10 ft

Answers

None of the above. To form a standard triangle, all 3 sides must be of equal length.

A teacher puts five packages of craft paper into a cabinet each package has 80 sheets of paper what is the total number of sheets of craft paper that the teacher put into the cabinet and wears a.40 b.85 c.400 d.450

Answers

Answer:

C

Step-by-step explanation:

If we have 5 packages and each contains 80, we are basically doing 80+80+80+80+80 (5 TIMES) which is referred to as 80×5=400

Answer:

1 package contain 80 sheets of paper.

If there is 5 packages, there will be 'x' sheets of paper.

We replace the sheets of paper with 'x', because the value of x is unknown.

Now we set up the equation:

Sheets               80                 x

__________   _________ = _________, solve for x;

Packages           1                   5

80/1 = x/5

*5        *5

400 = x

What is the solution to the linear equation? –12 3b – 1 = –5 – b b = –2 b = –1.5 b = 1.5 b = 2

Answers

The solution of the linear system is given by using an arithmetic operation. Then the value of b is 2.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The linear equation is given below.

–12 + 3b – 1 = –5 – b

The value of b will be given as

Add b both sides, we have

–12 + b + 3b – 1 = –5 – b + b

           –13 + 4b = –5

Add 13 on both sides, we have

13 – 13 + 4b = – 5 + 13

              4b = 8

Divide both sides by 4, we have

b = 2

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

The fourth option, 2

Convert 191% to a decimal.

Answers

Divide 191 by 100
The answer is 1.91

Answer:

1.91

Step-by-step explanation:

191% means [tex]\sf \frac{191}{100}[/tex]

So to write 191% as a decimal, simply divide it by 100.

To divide a number by 100, move the decimal point to the left by 2 places.

[tex]\sf \implies 191 \div 100=1.91[/tex]

What is 2+4(4x49=4+39(563x7=

Answers

Answer:

Step-by-step explanation:

2+4(4x49)=4+39(563x7)

2+4x196=4+39x3941

2+784=4+153699

786=153703

This equation is

not possible because

786≠153703

Math need help asap ty po sa makaka sagot

Answers

Answer:

please see analysis

Step-by-step explanation:

[tex]\left\{\right.{ \triangle}\ RST\cong { \triangle}\ DE[/tex]F

[tex](SSS\ Congruence\ Postulate)[/tex]

[tex]2.\ { \triangle\ CAT\cong { \triangle\ BED\ \left\{\right.Given\left.\ \right\}[/tex]

[tex]\bar{AT}\cong\bar{ED}[/tex]

[tex]\overline{AT}=20[/tex]

[tex]so\ \overline{ED}=20[/tex]

[tex]DE=3x-7=20\rightarrow\ x=9[/tex]

I hope this helps you:)

What is the range of this relation? ​

Answers

Answer:

{- 1, 0, 4 }

Step-by-step explanation:

the range is the y- coordinates of the plotted points

the coordinates of the points are

(- 4, - 1 ) , (1, 0 ) , (1, 4 ) with y- coordinates - 1, 0, 4

then range is { - 1, 0, 4 }

a. Find the slope of the line that passes through these points.

The slope is
(Type an integer or a simplified fraction.)

b. Is the slope between (1,4) And (3,12) the same as the slope between (3,12) and (4,16)?
Explain.


O A. Yes. Both slopes are equal to
(Type an integer or a simplified fraction.)

O B. No. The slope between (1,4) and (3,12) is equal to (4,16)

. The slope between (3,12) and
th

Answers

slope formula :  [tex]\bold{ \sf \dfrac{y_2-y_1}{x_2-x_1}}[/tex]

a.                          coordinates : (3,12) and (4,16)

[tex]\sf \rightarrow \dfrac{16-12}{4-3}[/tex]

[tex]\sf \rightarrow \dfrac{4}{1}[/tex]

[tex]\sf \rightarrow 4[/tex]

b.                          coordinates : (1,4) and (3,12)

[tex]\sf \rightarrow \dfrac{12-4}{3-1}[/tex]

[tex]\sf \rightarrow \dfrac{8}{2}[/tex]

[tex]\sf \rightarrow 4[/tex]

⇒ A. Yes. Both slopes are equal to 4

Is the function in this table linear or nonlinear and why?

Answers

The function in the table is nonlinear because they plugged the same number into the equation twice.

solve 2-6(1-x)=6-4(-x-2) for x

Answers

Answer:

x = 9

Step-by-step explanation:

Simplifying

2 + -6(1 + -1x) = 6 + -4(-1x + -2)

2 + (1 * -6 + -1x * -6) = 6 + -4(-1x + -2)

2 + (-6 + 6x) = 6 + -4(-1x + -2)

Combine like terms: 2 + -6 = -4

-4 + 6x = 6 + -4(-1x + -2)

Reorder the terms:

-4 + 6x = 6 + -4(-2 + -1x)

-4 + 6x = 6 + (-2 * -4 + -1x * -4)

-4 + 6x = 6 + (8 + 4x)

Combine like terms: 6 + 8 = 14

-4 + 6x = 14 + 4x

Solving

-4 + 6x = 14 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.

-4 + 6x + -4x = 14 + 4x + -4x

Combine like terms: 6x + -4x = 2x

-4 + 2x = 14 + 4x + -4x

Combine like terms: 4x + -4x = 0

-4 + 2x = 14 + 0

-4 + 2x = 14

Add '4' to each side of the equation.

-4 + 4 + 2x = 14 + 4

Combine like terms: -4 + 4 = 0

0 + 2x = 14 + 4

2x = 14 + 4

Combine like terms: 14 + 4 = 18

2x = 18

Divide each side by '2'.

x = 9

Simplifying

x = 9

The following structure is composed of three right rectangular prisms: two that each measure 12 inches by 10 inches by 5 inches and one right rectangular prism that measures 10 inches by 8 inches by 36 inches. What is the total volume of the structure? Show your work and/or explain your reasoning..

Answers

The volume of the stucture made from three rectangular prism is 4080 ft³

What is volume?

Volume is the amount of space occupied by a three dimensional shape or object.

The volume of the rectangular prism = length * width * height = 12 * 10 * 5 = 600 ft³

The volume of the other prism = length * width * height = 10 * 8 * 36 = 2880 ft³

Volume of the structure = 600 ft³ + 600 ft³ + 2880 ft³ = 4080 ft³

The volume of the stucture made from three rectangular prism is 4080 ft³

Find out more on volume at: https://brainly.com/question/12410983

B^2-7b-8 (b=-4) evaluate the expression

Answers

Answer:

4

Step-by-step explanation:

The following scatter plot represents the relationship between a person's weight and the number of calories the person burns in one minute of jump roping. Using the line of best fit, about how many calories per minute could you expect a 100-pound person to burn while jump roping?

a. 6
b. 8
c. 7
d. 6.5

Please answer!

Answers

Answer:

b. 8

Step-by-step explanation:

the point asked has coordinates (100;8) (weight;calories)

A square with side length s has an area of 324 square centimeters. This equation shows the area of the square ^{s^2}is 324

Answers

Answer:

the side s is 18

Step-by-step explanation:

s=?

Area of square(A)=324

Now,

A=s²

324=s²

√(324)=s

s=18

How do u find an area of a cuboid?

Answers

Answer:

To find the surface area of a cuboid, add the areas of all 6 faces.

who can answer? ill give brainlist

Answers

Answer:

2.23

Step-by-step explanation:

we get this by making the fraction a decimal and finding out the value of each section

Which inequality is shown in the graph?

Answers

Answer:

Step-by-step explanation:

simplify 35x-35
over 14x-49

Answers

Answer:  Distributive property  a(b+c) = ab + ac

-5(7)x + 7(7) = -35x + 49 (D)

PLS HELP ME FRENDS I NEED HELP HELP THIS IS MY LAST CHANCE What is the area of the real object that the scale drawing models? ​

Answers

Answer:

D. 16 square cm

Step-by-step explanation:

To solve this problem, we will have to look at the Scale factor.

1 : 8 =  1 cm (in the scale drawing) = 8cm (in the real object)

Since the area of the scale drawing is 2 cm, the equation will be 2 x 8 = 16.

Therefore, 16 will be the area of the real object.

-kiniwih426

Which set of directions correctly describes how to plot the point (5, 7) on the coordinate plane?
1) Start at the origin. Move 5 units up, then move 7 units to the right.
2)Start at the origin. Move 5 units up, then move 7 units to the left.
3)Start at the origin. Move 5 units to the right, then move 7 units up.
4)Start at the origin. Move 5 units to the left, then move 7 units up.

Answers

Answer:3

Step-by-step explanation:

PLEASE HELP I DONT UNDERSTAND IVE BEEN TRYING FOR 15 MINS AND STILL DONT GET IT

Find the lengths of the missing sides in the triangle. Write your answers as integers or as decimals rounded to the nearest tenth. The diagram is not drawn to scale. (picture of diagram included)​

Answers

The values of the length of the missing sides of triangle is x = 7√2 and y = 7.

What are special triangles?

Special right triangles are right triangles with three determined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°-90° triangle and the 30°- 60°-90° triangle are other names for the two unique right triangles. Before going further, let's review the fundamental characteristics of a right triangle.

One of the angles of a right triangle is 90 degrees, and the total of the other two angles is also 90 degrees. The triangle's hypotenuse, which is the longest side, is the side that faces the right angle.

From the given figure we observe that the two angles are 45 degree and 90 degree.

Using the angle sum property we have:

45 + 90 + third angle = 180

third angle = 45 degrees.

The triangle is thus a 45-45-90 triangle.

The sides of 45-45-90 triangle correspond to the lengths as x : x : x√2.

Here, the angle corresponding to 45 is 7.

Thus, y = 7 and x = 7√2.

Hence, the values of the length of the missing sides of triangle is x = 7√2 and y = 7.

Learn more about triangles here:

https://brainly.com/question/2269348

#SPJ1

Which number of degrees is the measure of the angle? explain how you know.

Answers

Can you please show me what angle?

let l be the line through A(4,-3) and B(t,-2) that is parallel to the line through P(-2,4) and Q(4,-1) find the value of t

Answers

Answer:

t = [tex]\frac{14}{5}[/tex]

Step-by-step explanation:

Parallel lines have equal slopes.

calculate the slope m of PQ and then equate the slope of AB to slope of PQ

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = P (- 2, 4 ) and (x₂, y₂ ) = Q (4, - 1 )

[tex]m_{PQ}[/tex] = [tex]\frac{-1-4}{4-(-2)}[/tex] = [tex]\frac{-5}{4+2}[/tex] = - [tex]\frac{5}{6}[/tex]

now calculate slope of AB

with (x₁, y₁ ) = A (4, - 3 ) and (x₂, y₂ ) = B (t, - 2 )

[tex]m_{AB}[/tex] = [tex]\frac{-2-(-3)}{t-4}[/tex] = [tex]\frac{-2+3}{t-4}[/tex] = [tex]\frac{1}{t-4}[/tex]

equating the slopes gives

[tex]\frac{1}{t-4}[/tex] = - [tex]\frac{5}{6}[/tex] ( cross- multiply )

5(t - 4) = - 6

5t - 20 = - 6 ( add 20 to both sides )

5t = 14 ( divide both sides by 5 )

t = [tex]\frac{14}{5}[/tex]

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