[tex]\sqrt{24n^3}[/tex] (simplify radical) please show work

Answers

Answer 1

Answer:

The answer is

[tex]2n \sqrt{6n} [/tex]

Step-by-step explanation:

[tex] \sqrt{24 {n}^{3} } [/tex]

First of all factor out the perfect square out.

In this question the perfect squares are 4 and x²

So we have

[tex] \sqrt{4 \times {n}^{2} \times 6n} [/tex]

Separate the radicals

That's

[tex] \sqrt{4} \times \sqrt{ {n}^{2} } \times \sqrt{6n} [/tex]

Simplify

[tex] \sqrt{4} = 2 \\ \sqrt{ {n}^{2} } = n[/tex]

So we have

[tex]2 \times n \times \sqrt{6n} [/tex]

We have the final answer as

[tex]2n \sqrt{6n} [/tex]

Hope this helps

Answer 2

Answer:

[tex]2n \sqrt{6n} [/tex]

Step-by-step explanation:

[tex] \sqrt{24n {}^{3} } [/tex]

Factor out the perfect square ⬜

[tex] \sqrt{2 {}^{2} } \times 6 {n}^{3} [/tex]

[tex] \sqrt{ {2}^{2} } \times 6n {}^{2} \times n[/tex]

Please the square root is for the entire formula ⬆️⬆️⬆️

the root of the product is equals to the root of each Factor

[tex] \sqrt{2 {}^{2} } \sqrt{n {}^{2} } \sqrt{6n} [/tex]

reduce the index of the radical and exponent with 2

[tex]2 \sqrt{n {}^{2} } \sqrt{6n} [/tex]

[tex]2n \sqrt{6n} [/tex]

Solution

2n square root 6n

[tex]2n \sqrt{6n} [/tex]

Hope this helps.....


Related Questions

Which square root is a rational number ? Square root 50, square root 70, square root 81, square root 96

Answers

Answer:

square root of 81

Step-by-step explanation:

[tex] \sqrt{81} = 9[/tex]

so 9 is rational number.

the rest are irrational number

José sale de su casa con $50 y gasta 4/5 en el cine y 1/10 en chocolates, ¿qué fracción del
total ha gastado?

Answers

Answer:

9/10

Step-by-step explanation:

Find the measure of angle A​

Answers

Answer:

40°

X=11

I can't give you a very good explanation because I'm

only a freshman lol, I only studied so far in this stuff so I think ill stick to questions like this that give me side lengths and require an angle.

Anyways, hope this helped!

Which description is true about ​pre-image ABC​ and ​image A′B′C′​ ?

A.) The image is a rotation of the pre-image clockwise at 90°.

B.) The image is a reflection of the pre-image across the y-axis.

C.) The image is a dilation of the pre-image with a scale factor or 3.

D.) The image is a translation of the pre-image by moving up 2 units and to the right 2 units.

Answers

Answer:

Option (C)

Step-by-step explanation:

From the graph attached,

In ΔABC and ΔA'B'C',

∠A ≅ ∠A'

∠B ≅ ∠B'

Therefore, ΔABC ~ ΔA'B'C'

Corresponding sides of these triangles will be proportional.

[tex]\frac{\text{AB}}{\text{A'B'}}=\frac{\text{BC}}{\text{B'C'}}=\frac{\text{AC}}{\text{A'C'}}=\frac{2}{6}[/tex]

Therefore, ratio of the sides, AC : A'C' = 1 : 3 shows that image triangle A'B'C' is a dilated form of pre-image ABC with a scale factor of 3.

Option (C) will be the correct option.

I am struggling with this problem

Answers

Answer:

b

Step-by-step explanation:

the larger of two numbers is 4 more than the smaller the sum of the two numbers is 74

Answers

Answer:

y = 35    x = 39

Step-by-step explanation:

Let large no = x and small no = y

According to the question,

x = 4 + y ------ (1)

x + y = 74 -------- (2)

Substituting (1) in (2)

( 4 + y ) + y = 74

4 + 2y= 74

2y = 74 -4

y = 70 / 2 = 35

x = 4 + y

  = 4 + ( 35 )

   =  39

How many calories are there in 48 ounces?

Answers

Answer:585.......

Step-by-step exampel:

Answer:

10500 calories

Step-by-step explanation:

[tex]1\: ounce = 218.75 \: calories\\[/tex]

Can you help me match them? please!

Answers

Answer:

1B 2D 3E 4A 5C

Step-by-step explanation:

For integer, whole and natural numbers, check this link out.

0.050505.. is repeating decimal, therefore it's a rational number

√19 is irrational number because 19 is not a square number.

Answer:

1. b

2. d

3. e

4. a

5. c

hope it helps

Mary has 60 candy pieces and 45 chocolates. She wants to distribute the candy to her little sister's friends at her birthday party so that each friend gets an equal number of candies and an equal number of chocolates.What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over

Answers

Answer:

5 friends

Step-by-step explanation:

Candy pieces = 60

Chocolate = 45

What should be the smallest number of her sister's friends for the distribution of candy and chocolate so each friend gets an equal number of candy pieces and chocolates in a way that there should not be left any chocolate or candy pieces left over?

To calculate this, find the lowest factor of 60 and 45

60:

Factors = 2, 4, 5, 6,

45:

Factors= 3, 5, 9

The lowest common factor of 60 and 45 is 5

The smallest number of her sister's friend so each person get an equal number of candy pieces and chocolate so there won't be any leftover is 5

That is

If there are 5 friends at the birthday party

60 candy pieces among 5 friends

= 60/5

= 12 pieces each

45 chocolate among 5 friends

= 45/5

= 9 each

Will bought clothes and shoes at a store.
The shoes cost $50. The total was $80.
How much did the clothes cost? Use c for
clothes?
a) 50c = 80
b) C - 50 = 80
c) C + 50 = 80
d) 80 + c = 50

Answers

I think it’s c because you need to add 30 for the clothes to get 80
The correct answer is C

How many coins are in one pouch? Post the strategies you used to find the other number of coins in one pouch.

Answers

Answer:

6

Step-by-step explanation:

First, make an equation out of this diagram. Replace the coin pouches with the variable of x, and replace the number of coins with numerical values. You get the equation 2x + 21 = 5x + 3. Subtract 3 from both sides to get 2x + 18 = 5x. Then, subtract 2x from both sides to get 3x = 18. Divide both sides by 3 to get 6 coins per pouch.

add 5 to me then divide by 7 add twelve then subtract 7 you get 10 what am i

Answers

30+5=35 35 divided by 7 equals 5, 5+12=17, 17-7=10

59. What happens to the graph of y = |x| when the equation changes to y = |x + 4? A The graph shifts up 4 units. The graph shifts left 4 units. B с The graph shifts right 4 units. D The graph shifts down 4 units.​

Answers

Answer: Graph shifts 4 units to the left

Explanation:

I'm assuming you meant to say y = |x+4|

If so, then the graph shifts 4 units to the left. Replacing x with x+4 moves the xy axis 4 units to the right if we held the V shape in place (since each x is now 4 units larger). This gives the illusion the V shape is moving 4 units to the left.

Or you could look at the vertex point to see how it moves. On y = |x|, the vertex is at (0,0). It then moves to (-4,0) when we go to y = |x+4|

Apples are on sale for $0.85 per pound. Darla has a $5 bill. About how many pounds of apples can she buy?

Answers

Answer:

5

Step-by-step explanation:

The number of pounds of apples that she can buy will be 5.88 pounds.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Apples are on sale for $0.85 per pound. Darla has a $5 bill.

The number of pounds of apples that she can buy will be calculated as,

⇒ $5 / $0.82

⇒ 5.88 pounds

The number of pounds of apples that she can purchase will be 5.88 pounds.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Evaluate the function for the given value.

f(-3) if f(x) = 4x^2 + 7

Answers

Answer:

f(-3) = 43

Step-by-step explanation:

f(x) = 4x² + 7

To find f(-3) substitute the value of x that's - 3 into f (x) that's replace every x in f (x) by - 3

We have

f(-3) = 4(-3)² + 7

= 4(9) + 7

= 36 + 7

We have the final answer as

f(-3) = 43

Hope this helps you

Jermaine got an 84% on a math test. If the test had 25 questions, how many
questions did Jermaine get correct?

Answers

Answer:

21

Step-by-step explanation:

why do you use points when you could literally just search it up

Simplify 1/2/5 please.

Answers

Answer:

0.1

Step-by-step explanation:

(1/2)/5 = 0.1

Answer:

Step-by-step explanation:

1/2 x 1/5 = 1/10

A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10−16 kilometer. How many times larger is the diameter of the dish than the diameter of the bacterium?

Answers

Answer:

100000000000 times

Step-by-step explanation:

Given

Diameter of Dish = 0.00001 km

Diameter of Bacterium = 10⁻¹⁶ km

Required

Determine the number of times the diameter of dish is bigger than that of the bacterium

To solve this, we simply divide the diameter of dish by the diameter of the bacterium as follows

[tex]Ratio = \frac{Dish}{Bacterium}[/tex]

[tex]Ratio = \frac{0.00001}{10^{-16}}[/tex]

[tex]Ratio = 100000000000[/tex]

Hence, the diameter of the dish is 100000000000 times larger than the diameter of the bacterium

Rocco gained 64 yards on 16 carries during a recent football game. Find
the unit rate of yards per carry.

Answers

Answer:

4 yards per carry

Step-by-step explanation:

16x = 64

x = 4

Answer:  4 yards per carry

Step-by-step explanation:

To get  from yards per carry divide the number of carries by itself to reduced  it to one and the same as you will divide the yards by 64 too.

64 = 16  

4 = 1

Plot A(−3,−1), B(−3,2), C(6,9), and D(3,9) in a coordinate plane. Are AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ congruent? Yes No

Answers

Answer:

Yes

Step-by-step explanation:

The given points are A(−3,−1), B(−3,2), C(6,9), and D(3,9).

Plot these points on a coordinate plane as shown in the below graph.

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using this formula, we get

[tex]AB=\sqrt{(-3-(-3))^2+(2-(-1))^2}[/tex]

[tex]AB=\sqrt{(0)^2+(3)^2}[/tex]

[tex]AB=3[/tex]

[tex]CD=\sqrt{(3-6)^2+(9-9)^2}[/tex]

[tex]CD=\sqrt{(-3)^2+(0)^2}[/tex]

[tex]CD=3[/tex]

Since AB=CD, therefore the required answer is yes, AB and CD are congruent.

I don’t really know how to do this, could anyone help? :)

Answers

When you reflect a point across the Y axis, the Y coordinate remains same, but the x-coordinate is transformed to its opposite. So change the x coordinates so their opposite sign.

Write yes if the following polygons are regular, and no if they’re not.

Answers

Answer:

a. yes

b. no

c. yes

d. yes

e. yes

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular

Answer:

a. yes  

b. no  

c. yes  

d. yes  

e. yes  

f. no

Step-by-step explanation:

a regular polygon must be equiangular (all angles are same) and equilateral (all sides are same)

A. equilateral triangle, regular

B. is a rectangle and the sides of rectangle are not all equal, thus, not regular

C. octagon, regular

D. flipped pentagon, regular

E. square, regular

F. not normal pentagon, not regular


Evaluate 3l-3l
Help please

Answers

Answer:

9

Step-by-step explanation:

the absolute value makes everything positive

3 * 3  = 9


A triangle has sides with lengths of 5x-7,
3x-4, anol 2x-6. What is the perimeter of
the triangle

A 10x-17
B 6x-17
C 4x-9
D -7x

Answers

Answer:

A.   10x -17

Step-by-step explanation:

5x-7,  3x-4, and 2x-6.

combine like terms

5x-7 + 3x-4 + 2x-6

5x + 3x + 2x - 7 -4 - 6

10x -17

therefore the answer is A.  10x -17

6 + (1 + 9) = 16, so
(6 + _) + 9 = '16

Answers

Answer:

1

Step-by-step explanation:

Adding the same positive numbers will always give you the same answers, right here all your doing is switching the 9 and the 1 ... so 1

I don’t get it! It says “Match each division expression to it’s quotient.” So can anyone help with 1/12 / 1/6 ? Please!

Answers

We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply

1/12 divided by 1/6 = 1/12 * 6/1

-------

From here we multiply straight across.

The numerators multiply to get 1*6 = 6

The denominators multiply to 12*1 = 12

We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6

Final Answer:  1/2

investigation nine Pablo made monthly payments to his bank for a loan payments for the first month were $55 $52 $49 $46 and $43

Answers

Answer:

Step-by-step explanation:yes

Translate this phrase into an algebraic expression.
40 less than twice Jenny's height
Use the variable j to represent Jenny's height.

Answers

Answer:

j(2) - 40

Step-by-step explanation:

The population of Tel Aviv, Israel was 413,000 in 2003. What is 413,000 rounded to ther nearest hundred-thousand?

Answers

Answer:

400,000

Step-by-step explanation:

Tel Aviv Population (2013) - 413,000

413,000 rounded to nearest hundred-thousand = 400,000

Final sum= 400,000. Hope this helps!

Answer: 400,000

The population of Tel Aviv in 013 was 413,000.

We have to round this number to the nearest 100,000.

We get 400,000, so it is the answer.

PLEASE I WILL GIVE BRAINLIEST!!!!!HELPPPPPPP!!!PLEASESOMEONE!!!! 7 POINTS!!!!!ANYONE PLEASE !!!

Just so you know B&C are combined

Answers

Answer:

this is the answer

Step-by-step explanation:

the one where the lines are at 6,8,1

Answer:

boom math

Step-by-step explanation:

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