Simplify the Radical Expression -6 square root of 100+ square root of 36

$- 6 \sqrt{100} + \sqrt{36}$

Step 1

Simplify each term.

Rewrite $100$ as $10^{2}$ .

$- 6 \sqrt{10^{2}} + \sqrt{36}$

Pull terms out from under the radical.

$- 6 | 10 | + \sqrt{36}$

The absolute value is the distance between a number and zero. The distance between $0$ and $10$ is $10$ .

$- 6 \cdot 10 + \sqrt{36}$

Multiply $- 6$ by $10$ .

$- 60 + \sqrt{36}$

Rewrite $36$ as $6^{2}$ .

$- 60 + \sqrt{6^{2}}$

Pull terms out from under the radical.

$- 60 + | 6 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $6$ is $6$ .

$- 60 + 6$

Step 2

Add $- 60$ and $6$ .

$- 54$