Evaluate 1/2+ square root of 72/2

$\frac{1}{2} + \sqrt{\frac{72}{2}}$

Simplify each term.

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Divide $72$ by $2$ .

$\frac{1}{2} + \sqrt{36}$

Rewrite $36$ as $6^{2}$ .

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

Pull terms out from under the radical, assuming positive real numbers.

$\frac{1}{2} + 6$

To write $6$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} + 6 \cdot \frac{2}{2}$

Combine $6$ and $\frac{2}{2}$ .

$\frac{1}{2} + \frac{6 \cdot 2}{2}$

Combine the numerators over the common denominator.

$\frac{1 + 6 \cdot 2}{2}$

Simplify the numerator.

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Multiply $6$ by $2$ .

$\frac{1 + 12}{2}$

Add $1$ and $12$ .

$\frac{13}{2}$

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{2}$

Decimal Form:

$6.5$

Mixed Number Form:

$6 \frac{1}{2}$

Evaluate 1/2+ square root of 72/2

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