Simplify the Radical Expression square root of 36+ square root of 64

$\sqrt{36} + \sqrt{64}$

Step 1

Simplify each term.

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

$\sqrt{6^{2}} + \sqrt{64}$

Pull terms out from under the radical.

$| 6 | + \sqrt{64}$

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

$6 + \sqrt{64}$

Rewrite $64$ as $8^{2}$ .

$6 + \sqrt{8^{2}}$

Pull terms out from under the radical.

$6 + | 8 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $8$ is $8$ .

$6 + 8$

Step 2

Add $6$ and $8$ .

$14$