Question

simplify. remove all perfect squares from inside the square roots. assume y and z are positive. \\(sqrt{75yz^2}=\\) \\(square\\)

Explanation:

Step1: Factor into perfect squares

$\sqrt{75yz^2} = \sqrt{25 \times 3 \times y \times z^2}$

Step2: Split the square root

$\sqrt{25} \times \sqrt{z^2} \times \sqrt{3y}$

Step3: Simplify perfect square roots

$5 \times z \times \sqrt{3y}$

Answer:

$5z\sqrt{3y}$