Simplify square root of 1300

$\sqrt{1300}$

Step 1

Rewrite $1300$ as $10^{2} \cdot 13$ .

Factor $100$ out of $1300$ .

$\sqrt{100 (13)}$

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

$\sqrt{10^{2} \cdot 13}$

$\sqrt{10^{2} \cdot 13}$

Step 2

Pull terms out from under the radical.

$10 \sqrt{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$10 \sqrt{13}$

Decimal Form:

$36.05551275 \dots$

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