Question

simplify. remove all perfect squares from inside the square root. \\(sqrt{15y^{3}} = \square\\)

Explanation:

Step1: Factor out perfect square terms

$\sqrt{15y^3} = \sqrt{15 \cdot y^2 \cdot y}$

Step2: Separate perfect square factor

$\sqrt{y^2 \cdot 15y} = \sqrt{y^2} \cdot \sqrt{15y}$

Step3: Simplify square root of perfect square

$\sqrt{y^2} = y$ (assuming $y \geq 0$)

Answer:

$y\sqrt{15y}$