How do you simplify  5 sqrt2 + 3 sqrt 50 - sqrt 75?

Nov 4, 2015

I found:
$20 \sqrt{2} - 5 \sqrt{3}$

Explanation:

I would write it as:
$5 \sqrt{2} + 3 \sqrt{2 \cdot 25} - \sqrt{3 \cdot 25} =$
$= 5 \sqrt{2} + 3 \sqrt{2} \sqrt{25} - \sqrt{3} \sqrt{25} =$
$= 5 \sqrt{2} + 3 \cdot 5 \sqrt{2} - 5 \sqrt{3} =$
$= 5 \sqrt{2} + 15 \sqrt{2} - 5 \sqrt{3} =$
$= 20 \sqrt{2} - 5 \sqrt{3}$