Simplify 10*6 square root of 80

$10 \cdot 6 \sqrt{80}$

Step 1

Rewrite $80$ as $4^{2} \cdot 5$ .

Factor $16$ out of $80$ .

$10 \cdot (6 \sqrt{16 (5)})$

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

$10 \cdot (6 \sqrt{4^{2} \cdot 5})$

$10 \cdot (6 \sqrt{4^{2} \cdot 5})$

Step 2

Pull terms out from under the radical.

$10 \cdot (6 (4 \sqrt{5}))$

Step 3

Multiply.

Multiply $4$ by $6$ .

$10 \cdot (24 \sqrt{5})$

Multiply $24$ by $10$ .

$240 \sqrt{5}$

$240 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$240 \sqrt{5}$

Decimal Form:

$536.65631459 \dots$

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