Evaluate 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 $2^{2}$ .

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

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

Pull terms out from under the radical.

$2 \sqrt{2} - \sqrt{2}$

$2 \sqrt{2} - \sqrt{2}$

Step 2

Subtract $\sqrt{2}$ from $2 \sqrt{2}$ .

$\sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$

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