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Simplify 3 square root of 56

$3 \sqrt{56}$

Step 1

Rewrite

$56$ as

$2^{2} \cdot 14$ .

Factor

$4$ out of

$56$ .

$3 \sqrt{4 (14)}$

Rewrite

$4$ as

$2^{2}$ .

$3 \sqrt{2^{2} \cdot 14}$

$3 \sqrt{2^{2} \cdot 14}$

Step 2

Pull terms out from under the radical.

$3 (2 \sqrt{14})$

Step 3

Multiply

$2$ by

$3$ .

$6 \sqrt{14}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{14}$

Decimal Form:

$22.44994432 \dots$

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