Addition and Subtraction of Radical Expression

-Salamat

Addition And Subtraction Of Radical Expression -Salamat

Answers

Answer 1

Given:

The radical expression is

[tex]7\sqrt[3]{8x^2y}+2\sqrt[3]{27x^5y^4}[/tex]

To find:

The value of the expression after addition.

Solution:

We have,

[tex]7\sqrt[3]{8x^2y}+2\sqrt[3]{27x^5y^4}[/tex]

It can be rewritten as

[tex]=7\sqrt[3]{2^3x^2y}+2\sqrt[3]{3^3x^3x^2y^3y}[/tex]

[tex]=7(2)\sqrt[3]{x^2y}+2\sqrt[3]{(3xy)^3x^2y}[/tex]

[tex]=14\sqrt[3]{x^2y}+2(3xy)\sqrt[3]{x^2y}[/tex]

[tex]=14\sqrt[3]{x^2y}+6xy\sqrt[3]{x^2y}[/tex]

Taking out the common factors, we get

[tex]=2\sqrt[3]{x^2y}(7+3xy)[/tex]

The value of given expression after addition is [tex]=2\sqrt[3]{x^2y}(7+3xy)[/tex].


Related Questions

Which phrase represents this expression?

14+(9−2)

Select each correct answer.


14 added to the difference of 9 and 2

the total of 14 and 9 is subtracted by 2

the sum of 14 and the difference of 9 and 2

2 less than the sum of 14 and 9

Answers

14 added to the difference of 9 and 2 is the correct answer because first 2 is being subtracted from 9 and then 14 is added

Answer:

the sum of 14 and the difference of 9 and 2

14 added to the difference of 9 and 2

Step-by-step explanation:

5(2a-6b+8)
Please helppp

Answers

Answer:

10a - 30b + 40

Step-by-step explanation:

Multiply each term inside the ( ) by the 5 outside the ( ).

5 x 2a = 10a

5 x -6b = -30b

5 x 8 = 40

Add the terms together (don't forget that it's negative 30b)

10a + -30b + 40 = 10a - 30b + 40

5 and2/3 divide by 4?

Answers

Answer:

The answer is 1 5/12 or 17/12.

Step-by-step explanation:

First we turn 5 2/3 into a Improper fraction.

5 2/3 = 17/3

Next we change 4 to 1/4 then multiply 1/4 by 17/3.

17/3 * 1/4 = 17/12

17/12 = 1 5/12

Hope this helps! :)

Answer:

17/12

Step-by-step explanation:

5[tex]\frac{2}{3}[/tex] / 4 = [tex]\frac{17}{3}[/tex] / [tex]\frac{4}{1}[/tex] = [tex]\frac{17}{3}[/tex] * [tex]\frac{1}{4}[/tex] = 17/12

PLS HELP ASAP I NEED HELP THANK YOU
PLS SOLVE THIS AND IF POSSIBLE EXPLAIN WHY

Answers

Answer:

radius = [tex]\sqrt{7}[/tex] which is approximately 2.65

Step-by-step explanation:

what does rotation about (-3,-4) mean

Answers

Answer:

Step-by-step explanation:

Depends on what kind of rotation you would be doing. But for example, if you are rotating 90 degrees about a point on a graph, your point (x, y) changes to (-y, x). Then another 90 degrees would be (-x, -y).

I REALLY NEED HELP!!! PLEEEEEASE

A landscaper needs to fill a path measuring 2 feet by 8 feet with patio stones.
The patio stones are each 1 foot by 2 feet, so the landscaper calculates that she
will need 8 of them.
Before arranging the patio stones, the landscaper wants to look at all her options.
She can not cut or overlap the stones, and they all must fit inside the path area
without any gaps. Two possible arrangements of the stones are shown below.
How many different arrangements are there in total?

Answers

Answer:

28

Step-by-step explanation:

You can have 8 1x2 vertical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

1+7+1+9+10=28

Hope this helps!

Answer:

28

Step-by-step explanation:

You can have 8 1x2 vertical in a row,

7 with two horizontals stacked on top of each other.

9 with 4 horizontal tiles,

10 with 6 horizontal tiles,

1 8 horizontal tiles set,

you can draw it out

1+7+1+9+10=28

HELP MEEEEEEEEEEEEE PLEASEEEEEEEEEEEEEEEE

( 6 x 7- 22 ) + 7

And ik it's not 27

Answers

Answer:

The answer would be 13

Step-by-step explanation:

(6 x 7 - 22) - 7

(42 - 22) - 7

(20) - 7

13

help me plz bc i don't understand this and this is from 2 weeks ago and I have straight F's in school

Answers

bae what you failing

Answer:

y = -3x + 3

Step-by-step explanation:

So, basically I can't remember how to do this the long way but I used a calculator on Desmos (the graphing one to be specific). You should be able to find tutorials on how to use it and graph problems to find their answers but if not, you can just message me and I'll walk you through how to use it.

As for the form it asked for in the question, slope-intercept form is just:

y = mx + b

m is the slope, and b is the y-intercept (the place where the line crosses the y-axis)

Algebra 1 need help (Solving exponents equations)

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the exponents and indices.

here, we should remember one thing that,

3 ^3 = 27 and 1/3^x = 3^-x

so we get as,

(3^-3)^4-x = (3^3)^2x-1

==> 3^-12+3x = 3^6x-3

since the base is same that is 3 , we equate their powers.

-12x+3=6x-3

==> 3+3 = 6x+12x

==> 6 = 18x

hence ===> x = 6/18 = 1/3

hence, x = 1/3

Help me please , I’ll mark brainliest

Answers

Answer:

42 feet squared

Step-by-step explanation:

What number when multiplied by 3 gives 207 for the answer​

Answers

Answer:

207 divided by 3 equals 69

3x69=207

11. Which of the following is a graph of exponential decay?


Please help very urgent!!!

Answers

Answer:

I believe it's the 3rd answer

1/3b+2/3b-5/6(b+1)

A. 1/6b+5/6
B. 1/6b-5/6
C. 11/6b-5/6
D. 1/6b+1

Answers

Answer:

Answer is B.1/6b-5/6

Step-by-step explanation:

I hope it's helpful!

Linda's dog ate 6 cans of dog food this week. Each can contained 44.7 grams of protein. How much protein was this in all?

Answers

Answer:

268.2 grams

Step-by-step explanation:

44.7 times 6

please mark brainliest

PLEASE HELP ME ILL GIVE BRAINLIEST IF YOU SHOW YOUR WORK

Answers

Answer:

(32/5, -48/5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

-4x + 16 = y

2x - 32 = 2y

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  2x - 32 = 2(-4x + 16)Distribute 2:                                                                                                    2x - 32 = -8x + 32[Addition Property of Equality] Add 8x on both sides:                                10x - 32 = 32[Addition Property of Equality] Add 32 on both sides:                                   10x = 64[Division Property of Equality] Divide 10 on both sides:                               x = 32/5

Step 3: Solve for y

Define original equation:                                                                               -4x + 16 = ySubstitute in x:                                                                                                 -4(32/5) + 16 = yMultiply:                                                                                                           -128/5 + 16 = yAdd:                                                                                                                   -48/5 = yRewrite/Rearrange:                                                                                            y = -48/5

The perimeter of a triangle is 26 feet. The second side is twice as long as the first. the third side is 1 foot longer than the second side. What is the length of the 3 sides?

Answers

Answer:

5, 10 and 11 feet.

Step-by-step explanation:

Let length of first side be x feet then

second side  = 2x feet

third side = 2x + 1 feet.

So we have the equation:

x + 2x + 2x + 1 = 26

5x + 1 = 26

5x = 25

x = 5 feet.

So first side = = 5 feet, second = 10 and third = 11 feet.


Plentiful Pies determines its annual profits
in dollars using p(x) = 65x - 0.3x2 where x
represents the numbers of pies sold. If Plentiful
Pies sells 175 pies in a year, what will their
annual profits be?

Answers

Answer:

The annual profits will be 2187.5

Step-by-step explanation:

p(x) = 65x - 0.3x^2

I am guessing that the 2 was supposed to be a square.

Simply plug in the number of pies sold:

p(175) = 65(175) - 0.3(175)^2 = 11375 - 0.3*30625 = 11375 - 9187.5 = 2187.5

What is the equation of the line that passes through the point (-5, 7) and
has a slope of - 1/5?

Answers

Answer:

[tex]y=-\frac{1}{5}x+6[/tex]

Step-by-step explanation:

We have the following equation

y=mx+b

where m is the slope

and b is the y intercept

we know that the slope is  -1/5 (or -.2)

which means that so far our equation looks like this

y= -.2x+b

which means we need to solve for b

we know that when x= -5 y= 7 which means we can plug in those values and solve for b

we have

7= (-.2*-5)+b

7=1+b

b=6

which means our equation is as follows

y= -1/5x+6

help [7.3 - 0.24 + (5 - 2.3 )] - (1.37 + 0.982 =

Answers

Answer:

2.8

Step-by-step explanation:

[7.3-0.24+(2.7)]-(2.352)

[7.3-2.94]-(2.352)

[4.36]-(2.352)

2.008

Someone please help?

Answers

Answer:

I think it's C the third answer choice

Step-by-step explanation:

Which of the following statements uses the commutative property of addition?

A) 2+(3+4)=(2+3)+4
B) 2+(3+4)=(2+3)+(2+4)
C) 2+(3+4)=2+(4+3)

Answers

Answer:

B

Step-by-step explanation:

What fratcion is equal to 50% of 1 third

Answers

Answer:

1/6

Step-by-step explanation:

To know what fraction is equal to 50% of 1/3, we have to convert the percentage into a fraction first.

50% = 50/100

So 50% of 1/3 = 1/3 * 50/100

= 50/ 300

= 5/30

= 1/6

Answer:

1/6

Step-by-step explanation:

The diameter of a circle has endpoints of (2, 5) and (-4, 13). What is the correct equation of this circle? Pls explain and I will mark brainliest!

Answers

Answer:

Option 4

Step-by-step explanation:

Midpoint of the diameter is the center.

Use midpoint formula to determine the coordinates:

x = (2 - 4)/2 = -1y = (5 + 13)/2 = 9

Find the radius using the midpoint and one of the endpoints and the distance formula:

r = [tex]\sqrt{(-1 - 2)^2 + (9 - 5)^2} = \sqrt{9+16} = \sqrt{25} = 5[/tex]

Use the equation of the circle:

(x - (-1))² + (y - 9)² = 5²(x + 1)² + (y - 9)² = 25

Correct choice is 4

Help please! would greatly appreciate and give brainliest.

Answers

Answer:

Leg opposite the y° is [tex]3\sqrt{39}[/tex], the leg opposite the x° is 7, and the hypotenuse is 20.

Step-by-step explanation:

Through SOHCAHTOA:

[tex]cos y =\frac{adjacent}{hypotenuse} =\frac{3\sqrt{39}}{20}[/tex]

[tex]tan x =\frac{opposite}{adjacent} =\frac{3\sqrt{39}}{7}[/tex]

I have a D in math. Please help me with this. I need to bring my grade up!! 15 pts!!

Answers

Answer:

20 meters thru 80

Step-by-step explanation:

0.8(5)^2=20

0.8(10)^2=80

1/4x + 5 = 25
show your work, someone help!

Answers

Answer:

4.7619047619

Step-by-step explanation:

(this could be wrong)

1/4 = .25 add .25 to 5 and then divide 25 by 5.25 to get the answer

Answer:

x=80

Step-by-step explanation:

1/4x + 5 = 25

multiply both sides by 4

x+20=100

subtract both sides by 20

x=80

Consider each of the following relationships. Which school shows the greatest
rate of change between male and female students?
• In school A, the ratio of male students to female students is 4.1.
In school B, the relationship between the number of female students, y,
and the number of male students, x, is given by the equation y= 1 x.
.
In school C, the number of male and female students are as shown in the
table.
Female students
280
Male Students
1260

Answers

1540

Step-by-step explanation:

male plus female so ueah


मानसरोवर सुभर जल, हंसा केलि कराहिं
मुकताफल मुकता चुगैं, अब उड़ि अनत न जाहिं। 1।​

Answers

Answer:

हिंहिं

Step-by-step explanation:

Look at the coordinate plane below. Among these points, circle the points where x < y (the first coordinate, x, is smaller than the second coordinate, y.)

Answers

Answer:

A,T, O,I,R

Step-by-step explanation:

The square pyramid shown below has a base with sides of 12 units. The vertical height of the pyramid is 15
15
12
What is the length of 8 (the height of one of the triangular faces)?
Round your answer to the nearest tenth.
The length of s is
units

Answers

Answer:

your answer will be S= 16.2

Step-by-step explanation:

I hope it helps ^_^

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