Simplify square root of 148

$\sqrt{148}$

Step 1

Rewrite $148$ as $2^{2} \cdot 37$ .

Factor $4$ out of $148$ .

$\sqrt{4 (37)}$

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

$\sqrt{2^{2} \cdot 37}$

$\sqrt{2^{2} \cdot 37}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{37}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{37}$

Decimal Form:

$12.16552506 \dots$

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