Simplify square root of 189

$\sqrt{189}$

Step 1

Rewrite $189$ as $3^{2} \cdot 21$ .

Factor $9$ out of $189$ .

$\sqrt{9 (21)}$

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2} \cdot 21}$

$\sqrt{3^{2} \cdot 21}$

Step 2

Pull terms out from under the radical.

$3 \sqrt{21}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$3 \sqrt{21}$

Decimal Form:

$13.74772708 \dots$

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