# How do you simplify 5sqrt2(7/10)?

Sep 16, 2015

$7 \frac{\sqrt{2}}{2}$

#### Explanation:

First, we cancel off 5 and 10,
since they shared the same common factor (5).

$5 \times 1 = 5$
$5 \times 2 = 10$

$\cancel{5} 1 \sqrt{2} \left(\frac{7}{\cancel{10} 2}\right)$

Rearrange;

$\sqrt{2} \times \left(\frac{7}{2}\right) = 7 \frac{\sqrt{2}}{2}$

Note that 1 is negligible
since anything multiply with 1 we get the same answer.

Thank you. Hope it help.