Simplify 5 square root of 8

$5 \sqrt{8}$

Step 1

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

Factor $4$ out of $8$ .

$5 \sqrt{4 (2)}$

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

$5 \sqrt{2^{2} \cdot 2}$

$5 \sqrt{2^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

$5 (2 \sqrt{2})$

Step 3

Multiply $2$ by $5$ .

$10 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{2}$

Decimal Form:

$14.14213562 \dots$

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