Simplify 10 square root of 96

$10 \sqrt{96}$

Step 1

Rewrite $96$ as $4^{2} \cdot 6$ .

Factor $16$ out of $96$ .

$10 \sqrt{16 (6)}$

Rewrite $16$ as $4^{2}$ .

$10 \sqrt{4^{2} \cdot 6}$

$10 \sqrt{4^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$10 (4 \sqrt{6})$

Step 3

Multiply $4$ by $10$ .

$40 \sqrt{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$40 \sqrt{6}$

Decimal Form:

$97.97958971 \dots$

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