# Question #f44d6

Jul 13, 2015

$\sqrt{200} = 10 \sqrt{2}$

#### Explanation:

To solve such questions you have to look for possibilities to write 200 as a multiplication of numbers, which form a square of a number

$200 = 2 \cdot 10 \cdot 10 = 2 \cdot {10}^{2}$

Now $\sqrt{200} = \sqrt{{10}^{2} \cdot 2} = 10 \sqrt{2}$