Take a factor out of the square root. √(x^3)

Question

Take a factor out of the square root.


`√(x^3)`

Answer 1

`x√(x)`

Explanation:

Use Exponent Power rule:

`b^(1/n) =\sqrt[n]{b}`

Given
`√(x^3)` also known as
`\sqrt[2]{x^3}`, rewrite with exponent power rule as
`x^(3/2)`.

Factor
`x` from
`x^(3/2)` =
`x(x^(1/2))`

Rewrite as
`x√(x)`