Question

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

Answer 1

$y\sqrt{15y}$ is the term after removing perfect square from  $\sqrt{15y^3}$  .

Step-by-step explanation:

Here we have , an expression as \sqrt{15y^3} or $\sqrt{15y^3}$ . 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 ,

⇒  $\sqrt{15y^3}$

⇒  $\sqrt{15y(y)(y)}$

⇒  $\sqrt{15y(y^2)}$

⇒  $\sqrt{15y}(\sqrt{(y^2)})$

⇒  $\sqrt{15y}((y^2)^{\frac{1}{2}})$

⇒  $\sqrt{15y}(y)$

⇒  $y\sqrt{15y}$

Therefore , $y\sqrt{15y}$ is the term after removing perfect square from  $\sqrt{15y^3}$  .