Evaluate 5 square root of 700

$5 \sqrt{700}$

Step 1

Rewrite $700$ as $10^{2} \cdot 7$ .

Factor $100$ out of $700$ .

$5 \sqrt{100 (7)}$

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

$5 \sqrt{10^{2} \cdot 7}$

$5 \sqrt{10^{2} \cdot 7}$

Step 2

Pull terms out from under the radical.

$5 (10 \sqrt{7})$

Step 3

Multiply $10$ by $5$ .

$50 \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$50 \sqrt{7}$

Decimal Form:

$132.28756555 \dots$

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