Question

Remove all perfect squares from inside the square root. \sqrt{15y^3}

Answer 1

`y√(15y)` is the term after removing perfect square from
`√(15y^3)` .

Explanation:

Here we have , an expression as \sqrt{15y^3} or
`√(15y^3)` . We need to remove all perfect squares inside the square root . Let's find out:

We know that a perfect square is the term whose degree is two , or can be written in form
`a^2` , Where a is any term or integer or value or variable . Now ,

⇒
`√(15y^3)`

⇒
`√(15y(y)(y))`

⇒
`√(15y(y^2))`

⇒
`√(15y)(√((y^2)))`

⇒
`√(15y)((y^2)^{(1)/(2)})`

⇒
`√(15y)(y)`

⇒
`y√(15y)`

Therefore ,
`y√(15y)` is the term after removing perfect square from
`√(15y^3)` .