Simplify 6 square root of 500

$6 \sqrt{500}$

Step 1

Rewrite $500$ as $10^{2} \cdot 5$ .

Factor $100$ out of $500$ .

$6 \sqrt{100 (5)}$

Rewrite $100$ as $10^{2}$ .

$6 \sqrt{10^{2} \cdot 5}$

$6 \sqrt{10^{2} \cdot 5}$

Step 2

Pull terms out from under the radical.

$6 (10 \sqrt{5})$

Step 3

Multiply $10$ by $6$ .

$60 \sqrt{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$60 \sqrt{5}$

Decimal Form:

$134.16407864 \dots$

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