Question

Simplify:$\sqrt{\frac{98y^{11}}{2y^5}\hspace{0.17em}}$

Short answer

The required answer is$7y^3$.

Step-by-step solution

Step 1. Given information. 

The given square root is$\sqrt{\frac{98y^{11}}{2y^5}}$.

Step 2. Simplify the given root. 

$\sqrt{\frac{98y^{11}}{2y^5}}$

Apply radical rule.

$$\begin{gathered} \sqrt{49y^6} \\ =\sqrt{49}\sqrt{y^6} \\ =7\sqrt{y^6} \\ =7y^3 \end{gathered}$$