Evaluate 8 square root of 28

$8 \sqrt{28}$

Step 1

Rewrite $28$ as $2^{2} \cdot 7$ .

Factor $4$ out of $28$ .

$8 \sqrt{4 (7)}$

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

$8 \sqrt{2^{2} \cdot 7}$

$8 \sqrt{2^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$8 (2 \sqrt{7})$

Step 3

Multiply $2$ by $8$ .

$16 \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$16 \sqrt{7}$

Decimal Form:

$42.33202097 \dots$

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