# How do you add sqrt50 - sqrt8?

Apr 2, 2015

The answer is $3 \sqrt{2}$

If given: $\sqrt{50} - \sqrt{8}$

We can split the numbers inside the radical into factors:
$\sqrt{25 \cdot 2} - \sqrt{4 \cdot 2}$

Since $25$ and $4$ are respectively the squares of $5$ and $2$.
$5 \sqrt{2} - 2 \sqrt{2}$

Combining like terms:
$3 \sqrt{2}$