All categories

3 years ago

Simplify the radical expression. 3sqrt125x^9

Mathematics

2 answers:

Harrizon [31]3 years ago

8 0

Answer: The answer is 5x³.

Step-by-step explanation: We are given to simplify the following radical expression:

$R_e=3\sqrt{125x^9}.$

We are to find the cube root of the 125 and that of x to the power 9 and will multiply both of them to get the complete answer.

The simplification is as follows:

$R_e\\\\=\sqrt[3]{125x^9}\\\\=\sqrt[3]{5^3(x^3)^3}\\\\=5^{3\times \frac{1}{3}}\times (x^3)^{3\times\frac{1}{3}}\\\\=5\times x^3\\\\=5x^3.$

Thus, the answer is 5x³.

mart [117]3 years ago

4 0

Cube root 125x^9
= 5^3 (x^3)^3
= 5x^3

answer is 5x^3

You might be interested in

Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.

Neko [114]

Answer:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

(7,a) Where a ∈ R - {7}

OR

(-2,a) where a ∈ R - {-2}

3 0

4 years ago

Read 2 more answers

Add the two expressions -4.2x+3 and 2.5x-6 please help me with this

dalvyx [7]

-1.7×-6 is the answer. Hope this helps.

6 0

3 years ago

Read 2 more answers

H(j + i) - k5 + h when h = 3, i = 4, j = 2, and k = 1 pls put how you did it

VikaD [51]

Answer:

Step-by-step explanation:

First you want to plug in all the numbers where the letters are

h ( j + i )- k(5) + h

3 ( 2 + 4 )- 1(5) + 3

After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.

6 + 12 - 1(5) + 3

Then you just follow PEMDAS to solve for the rest

6 + 12 - 5 + 3

18 - 5 + 3

13 + 3

6 0

3 years ago

At a baseball game, 6 hotdogs cost $27. What is the cost of 1 hotdog? How many hotdogs can you buy for $18

Sergio [31]

Answer:

What is the cost of 1 hotdog?

Answer: $4.50

How many hotdogs can you buy for $18?

Answer: 4

Step-by-step explanation:

If $27 can buy you 6 hot dogs, to find the cost of one, we just divide.

27 divided by 6 = 4.5 ($4.50)

So 1 hotdog costs $4.50

If 1 hotdog is $4.50, and we want to know how much we can buy for $18, then we divide again.

18 divided by 4.5 = 4

So for $18, we can buy 4 hotdogs

8 0

3 years ago

Angle A and B are supplementary. Angle a has a measure of 80. What is the measure of angle B? The measure of angle B is

ololo11 [35]

Well when two angles are supplementary they equal 180.
So if angle A is 80 degrees then that would mean that angle B equals 100 degrees.

Hope This Helped :)

4 0

4 years ago