Simplify square root of 1528/1 - Math help

Math

$\sqrt{\frac{1528}{1}}$

Divide $1528$ by $1$ .

$\sqrt{1528}$

Rewrite $1528$ as $2^{2} \cdot 382$ .

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Factor $4$ out of $1528$ .

$\sqrt{4 (382)}$

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

$\sqrt{2^{2} \cdot 382}$

$\sqrt{2^{2} \cdot 382}$

Pull terms out from under the radical.

$2 \sqrt{382}$

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{382}$

Decimal Form:

$39.08964057 \dots$

Simplify square root of 1528/1

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