# How do you simplify 4sqrt5-2sqrt5?

Dec 24, 2016

$2 \sqrt{5}$

#### Explanation:

$4 \sqrt{5} - 2 \sqrt{5}$

these are like terms- they are both multiples of the radical $\sqrt{5}$.

collecting like terms gives you $\left(4 - 2\right) \cdot \sqrt{5}$

$= 2 \cdot \sqrt{5}$

$= 2 \sqrt{5}$

Dec 24, 2016

$4 \sqrt{5} - 2 \sqrt{5} = 2 \sqrt{5}$

#### Explanation:

The question is much easier than it looks at first glance.

Compare this with a question like:
4 bags - 2 bags = 2 bags

In algebra we can work with like terms:

$4 x - 2 x = 2 x$

$4 \square - 2 \square = 2 \square$

In this case you can consider $\sqrt{5}$ in each term as being like terms.

$4 \sqrt{5} - 2 \sqrt{5} = 2 \sqrt{5}$

$\sqrt{5}$ is an irrational number and cannot be written exactly, so it is better to use it like this.