Question

How do you do

x√x = √216

you have to solve for x and it should equal 6

Answer 1

`x √(x) = √(216)`

square both sides:

`{(x √(x)) }^(2) = {( √(216)) }^(2)`

solve the roots:

`( {x}^(2) .x) = 216 \\ {x}^(3) = 216`

take a cube root on both sides:

`\sqrt[3]{ {x}^(3) } = \sqrt[3]{216}`

solve the cube root:

`x = 6`