Evaluate 1/2 square root of 24

$\frac{1}{2} \sqrt{24}$

Rewrite $24$ as $2^{2} \cdot 6$ .

Factor $4$ out of $24$ .

$\frac{1}{2} \cdot \sqrt{4 (6)}$

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

$\frac{1}{2} \cdot \sqrt{2^{2} \cdot 6}$

$\frac{1}{2} \cdot \sqrt{2^{2} \cdot 6}$

Pull terms out from under the radical.

$\frac{1}{2} \cdot (2 \sqrt{6})$

Cancel the common factor of $2$ .

Factor $2$ out of $2 \sqrt{6}$ .

$\frac{1}{2} \cdot (2 (\sqrt{6}))$

Cancel the common factor.

$\frac{1}{2} \cdot (2 \sqrt{6})$

Rewrite the expression.

$\sqrt{6}$

$\sqrt{6}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{6}$

Decimal Form:

$2.44948974 \dots$

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