# How do you simplify |8-sqrt289|?

Aug 5, 2016

See explanation below

#### Explanation:

First, let's simplify the expression by subtracting $\sqrt{289}$ from 8:

$\left\mid 8 - \sqrt{289} \right\mid = \left\mid - 9 \right\mid$

Now, the absolute value of a number is the magnitude of the number, regardless of its sign (positive or negative). In your case, the absolute value of $- 9$ would be $9$. Therefore, $\left\mid - 9 \right\mid = 9$.