Simplify square root of 243

$\sqrt{243}$

Step 1

Rewrite $243$ as $9^{2} \cdot 3$ .

Factor $81$ out of $243$ .

$\sqrt{81 (3)}$

Rewrite $81$ as $9^{2}$ .

$\sqrt{9^{2} \cdot 3}$

$\sqrt{9^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

$9 \sqrt{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$9 \sqrt{3}$

Decimal Form:

$15.58845726 \dots$

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