# How to find square root of 2704?

May 5, 2018

52

#### Explanation:

$\sqrt{2704} = \sqrt{4 \cdot 4 \cdot 13 \cdot 13} = \sqrt{52 \cdot 52} = {\left({52}^{2}\right)}^{\frac{1}{2}} = 52$

Remember, you can think of square root as ${x}^{\frac{1}{2}}$

ie if you want to squareroot ${y}^{2}$:

$\sqrt{{y}^{2}} = {\left({y}^{2}\right)}^{\frac{1}{2}} = {y}^{\frac{1}{2} \cdot 2} = y$