# How do you simplify (7 square roots of 5) + (the square root of 50)?

Oct 4, 2015

$7 \sqrt{5} + \sqrt{50} = 7 \sqrt{5} + 5 \sqrt{2}$

#### Explanation:

$7 \sqrt{5} + \sqrt{50}$

Determine the prime factors for $50$.

$7 \sqrt{5} + \sqrt{2 \times 5 \times 5} =$

$7 \sqrt{5} + \sqrt{2 \times {5}^{2}}$

Apply the square root rule $\sqrt{{a}^{2}} = a$.

$7 \sqrt{5} + 5 \sqrt{2}$