Simplify square root of 168

$\sqrt{168}$

Step 1

Rewrite $168$ as $2^{2} \cdot 42$ .

Factor $4$ out of $168$ .

$\sqrt{4 (42)}$

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

$\sqrt{2^{2} \cdot 42}$

$\sqrt{2^{2} \cdot 42}$

Step 2

Pull terms out from under the radical.

$2 \sqrt{42}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{42}$

Decimal Form:

$12.96148139 \dots$

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