# How do you simplify 6 sqrt5 - 2sqrt5?

Aug 31, 2016

It's pretty simple, actually: $6 \sqrt{5} - 2 \sqrt{5} = 4 \sqrt{5}$

#### Explanation:

What we can do, is we can create a variable for the $\sqrt{5}$ and then substitute back after we do the math.

Let's say $x$ can be equal to $\sqrt{5}$. So then our simplified question would read: $6 x - 2 x$ when we place $x$ in for the $\sqrt{5}$.

$6 x - 2 x = 4 x$ so then we just take the $\sqrt{5}$ and place it back in for the $x$ and we get $4 \sqrt{5}$.

Aug 31, 2016

4sqrt5

#### Explanation:

sqrt5(6-2) = 4sqrt5