Simplify 10-( square root of 76)/2

$10 - \frac{\sqrt{76}}{2}$

Simplify the numerator.

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Rewrite $76$ as $2^{2} \cdot 19$ .

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Factor $4$ out of $76$ .

$10 - \frac{\sqrt{4 (19)}}{2}$

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

$10 - \frac{\sqrt{2^{2} \cdot 19}}{2}$

Pull terms out from under the radical.

$10 - \frac{2 \sqrt{19}}{2}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$10 - \frac{2 \sqrt{19}}{2}$

Divide $\sqrt{19}$ by $1$ .

$10 - \sqrt{19}$

The result can be shown in multiple forms.

Exact Form:

$10 - \sqrt{19}$

Decimal Form:

$5.64110105 \dots$

Simplify 10-( square root of 76)/2

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