What is the square root of 50 + the square root of 8?

Mar 5, 2018

See explanation.

Explanation:

$\sqrt{50} + \sqrt{8} = \sqrt{2 \cdot 25} + \sqrt{2 \cdot 4} = 5 \sqrt{2} + 2 \sqrt{2} = 7 \sqrt{2}$

Mar 5, 2018

$7 \sqrt{2}$

Explanation:

$\textcolor{m a \ge n t a}{\sqrt{50} + \sqrt{8}}$

$\textcolor{p u r p \le}{\implies \sqrt{2 \times 5 \times 5} + \sqrt{2 \times 2 \times 2}}$

$\textcolor{\mathmr{and} a n \ge}{\implies 5 \sqrt{2} + 2 \sqrt{2}}$

$\textcolor{g r e e n}{\implies 7 \sqrt{2}}$

Hope it helps :)