# How do you simplify 2sqrt16 - 2sqrt16?

Aug 11, 2017

$0.$

#### Explanation:

$2 \sqrt{16} - 2 \sqrt{16} = 0$

Aug 11, 2017

$+ 2 \sqrt{16} - 2 \sqrt{16} = 0$

#### Explanation:

These terms are known as additive inverses.

They have exactly the same value, but one is positive and one is negative.
One is a 'give', the other is a 'take'.

The sum of additive inverses is always $0$.
This works no matter what the values are.
While we could simplify each term, this is not necessary.

$+ 2 \sqrt{16} - 2 \sqrt{16} = 0$