Simplify square root of 700

$\sqrt{700}$

Step 1

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

Factor $100$ out of $700$ .

$\sqrt{100 (7)}$

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

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

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

Step 2

Pull terms out from under the radical.

$10 \sqrt{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{7}$

Decimal Form:

$26.45751311 \dots$

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