Simplify square root of 66150

$\sqrt{66150}$

Step 1

Rewrite $66150$ as $105^{2} \cdot 6$ .

Factor $11025$ out of $66150$ .

$\sqrt{11025 (6)}$

Rewrite $11025$ as $105^{2}$ .

$\sqrt{105^{2} \cdot 6}$

$\sqrt{105^{2} \cdot 6}$

Step 2

Pull terms out from under the radical.

$105 \sqrt{6}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$105 \sqrt{6}$

Decimal Form:

$257.19642299 \dots$

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