Question

How do I solve this equation?

Answer 1

Answer:    2 * sqrt(2)        

I attached an image to show you what I mean

Step-by-step explanation:

First add 20 on both sides

5x^(2 / 3) = 10

divide both sides by 5

x^(2 / 3) = 2

Now be reminded that the power of 2/3 is the same as x^2 cube root (to the third root)

So we now cube both sides to get rid of the cube root

x^2 = 2^3

which simplifies to x^2 = 8

We now just find the square root of both sides

so x = sqrt(8)

square root of 8 is simply sqrt(4 * 2) = sqrt(4) * sqrt(2) = 2 * sqrt(2)

So x = 2 * sqrt (2)