Simplify the Radical Expression square root of 8+ square root of 2

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

Step 1

Simplify each term.

Rewrite $8$ as $2^{2} \cdot 2$ .

Factor $4$ out of $8$ .

$\sqrt{4 (2)} + \sqrt{2}$

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 2} + \sqrt{2}$

Pull terms out from under the radical.

$| 2 | \sqrt{2} + \sqrt{2}$

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$2 \sqrt{2} + \sqrt{2}$

Step 2

Add $2 \sqrt{2}$ and $\sqrt{2}$ .

$3 \sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{2}$

Decimal Form:

$4.24264068 \dots$