# How do you simplify (2sqrt50) / sqrt2?

Sep 20, 2015

10

#### Explanation:

Oh I like this one.

Well, you have to notice that $2 = \sqrt{2} \cdot \sqrt{2}$
and rewrite as such:

$\frac{\sqrt{2} \cdot \sqrt{2} \cdot \sqrt{50}}{\sqrt{2}}$

You can then cancel out a $\sqrt{2}$ both top and bottom and get
$= \sqrt{2} \cdot \sqrt{50}$

Which is easy because the multiplication of square-roots is like the square-root of the multiplication, I mean:
$\sqrt{a} \cdot \sqrt{b} = \sqrt{a \cdot b}$
So we have:
$= \sqrt{2 \cdot 50}$
$= \sqrt{100}$
$= 10$