Simplify 5 square root of 124

$5 \sqrt{124}$

Step 1

Rewrite $124$ as $2^{2} \cdot 31$ .

Factor $4$ out of $124$ .

$5 \sqrt{4 (31)}$

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

$5 \sqrt{2^{2} \cdot 31}$

$5 \sqrt{2^{2} \cdot 31}$

Step 2

Pull terms out from under the radical.

$5 (2 \sqrt{31})$

Step 3

Multiply $2$ by $5$ .

$10 \sqrt{31}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{31}$

Decimal Form:

$55.67764362 \dots$

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