which expression is equivalent to (64y/100)^1/2? 8y/10 8y/50 32y/10 32y/50

Explanation:

Step1: Simplify the expression

$$ \begin{align*} \left(\frac{64y}{100}\right)^{\frac{1}{2}}&=\frac{(64y)^{\frac{1}{2}}}{(100)^{\frac{1}{2}}}\ \end{align*} $$

Step2: Apply the square - root property

$$ \begin{align*} \frac{(64y)^{\frac{1}{2}}}{(100)^{\frac{1}{2}}}&=\frac{\sqrt{64y}}{\sqrt{100}}\ &=\frac{8\sqrt{y}}{10} \end{align*} $$

Answer:

$8y/10$