# What is the simplest radical form of (11sqrt55)^2?

Feb 5, 2018

6655

#### Explanation:

${\left(11 \sqrt{55}\right)}^{2} = \left(11 \sqrt{55}\right) \times \left(11 \sqrt{55}\right)$

$= {11}^{2} \times {\left({55}^{\frac{1}{2}}\right)}^{2} = {11}^{2} \times {55}^{1}$

$= 121 \times 55 = 6655$

Hence, the simplest form of the expression is not a radical but rather the integer 6655