Simplify square root of 450

$\sqrt{450}$

Rewrite $450$ as $15^{2} \cdot 2$ .

Factor $225$ out of $450$ .

$\sqrt{225 (2)}$

Rewrite $225$ as $15^{2}$ .

$\sqrt{15^{2} \cdot 2}$

$\sqrt{15^{2} \cdot 2}$

Pull terms out from under the radical.

$15 \sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$15 \sqrt{2}$

Decimal Form:

$21.21320343 \dots$

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