Question

Simplify
Square Root of 200x^2

Answer 1

\[\sqrt[2]{200x^2}\]
=
\[\sqrt{200}\] * \[\sqrt{x^2}\]
=
\[\sqrt{25*4*2}\]*x
=
\[\sqrt{2}\]*5*2*x

Answer 2

\[\sqrt{200x^2}\]Find Factors
200x^2
2 and 100x^2
2 and 50^2
2 and 25x^2
5 and 5 x and x
The terms with "twins" can go outside the radicand
\[2*5*x \sqrt{2}\]
\[10x \sqrt{2}\]