# How do you simplify sqrt(54 x^11)?

Jul 10, 2015

=color(blue)(3x^(11/2)sqrt(6)

#### Explanation:

$\sqrt{54 {x}^{11}}$

$= \sqrt{\textcolor{b l u e}{3 \cdot 3} \cdot 3 \cdot 2 \cdot {x}^{11}}$

$= 3 \sqrt{6 {x}^{11}}$

Square root , can also be called as second root, so in terms of fraction, second root is a half power

=color(blue)(3x^(11/2)sqrt(6)