# How do you simplify 2sqrt50 - 3sqrt8?

Mar 10, 2017

$4 \setminus \sqrt{2}$

#### Explanation:

$2 \setminus \sqrt{50} - 3 \setminus \sqrt{8}$

factor the square root value into prime numbers $2 \setminus \sqrt{5 \setminus \cdot 5 \setminus \cdot 2} - 3 \setminus \sqrt{2 \setminus \cdot 2 \setminus \cdot 2}$

combine the square values
$2 \setminus \sqrt{{5}^{2} \setminus \cdot 2} - 3 \setminus \sqrt{{2}^{2} \setminus \cdot 2}$

factor out the squares and simplify
$2 \left(5\right) \setminus \sqrt{2} - 3 \left(2\right) \setminus \sqrt{2} = 10 \setminus \sqrt{2} - 6 \setminus \sqrt{2} = \setminus \textcolor{\in \mathrm{di} a n red}{4 \setminus \sqrt{2}}$