Question

In the following exercises, simplify.

$\frac{\sqrt{26y^7}}{\sqrt{2y}}$

Short answer

The simplified expression can be given as$\sqrt{13}{y}^3$

Step-by-step solution

Given information

We are given a expression$\frac{\sqrt{26y^7}}{\sqrt{2y}}$

Rewrite using common square root and remove the common factor 

We have,

$$\begin{gathered} \frac{\sqrt{26y^7}}{\sqrt{2y}} \\ =\sqrt{\frac{26y^7}{2y}} \\ =\sqrt{13y^6} \\ =\sqrt{13}{y}^3 \end{gathered}$$

Conclusion

The simplified expression can be given as$\sqrt{13}{y}^3$