Question

simplify.
remove all perfect squares from inside the square root.
\sqrt{200} = \square

Explanation:

Step1: Factor out perfect square

$\sqrt{200} = \sqrt{100 \times 2}$

Step2: Split the square root

$\sqrt{100 \times 2} = \sqrt{100} \times \sqrt{2}$

Step3: Simplify perfect square root

$\sqrt{100} \times \sqrt{2} = 10\sqrt{2}$

Answer:

$10\sqrt{2}$