# How do you simplify sqrt (9x^32y^28)?

Jul 9, 2015

=color(blue)(3 x^16 y ^14

#### Explanation:

$\sqrt{9 {x}^{32} {y}^{28}}$

Square root , can also be called as second root , so in terms of fraction, second root is a half power (color(blue)(1/2)

Rewriting the expression as:
$\sqrt{9 {x}^{32} {y}^{28}}$

$= {\left(9\right)}^{\frac{1}{2}} \cdot {x}^{32. \left(\frac{1}{2}\right)} \cdot {y}^{28. \left(\frac{1}{2}\right)}$

=color(blue)(3 x^16 y ^14