Question

How do you do x√x = √216 you have to solve for x and it should equal 6

Answer 1

Answer:

$x \sqrt{x} = \sqrt{216}$

square both sides:

${(x \sqrt{x}) }^{2} = {( \sqrt{216}) }^{2}$

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:

$x = 6$