Question

raiz quadrada de 200.

Answer 1

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

Answer 2

$\sqrt{200} = \\ \\ 200 |10 \\ 20 \: \: |10 \\ 2 \: \: \: \: |2 \\ 1 \: \: \: \: \boxed{ {10}^{2} \times 2} \\ \\ \sqrt{ {10}^{2} \times 2} = \\ \sqrt{ {10}^{2} } \sqrt{2} = \\ \sqrt{100} \sqrt{2} = \\ \boxed{10 \sqrt{2} }$