Evaluate square root of 95^2-30^2

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Trigonometry

$\sqrt{95^{2} - 30^{2}}$

Raise $95$ to the power of $2$ .

$\sqrt{9025 - 30^{2}}$

Raise $30$ to the power of $2$ .

$\sqrt{9025 - 1 \cdot 900}$

Multiply $- 1$ by $900$ .

$\sqrt{9025 - 900}$

Subtract $900$ from $9025$ .

$\sqrt{8125}$

Rewrite $8125$ as $25^{2} \cdot 13$ .

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Factor $625$ out of $8125$ .

$\sqrt{625 (13)}$

Rewrite $625$ as $25^{2}$ .

$\sqrt{25^{2} \cdot 13}$

Pull terms out from under the radical.

$25 \sqrt{13}$

The result can be shown in multiple forms.

Exact Form:

$25 \sqrt{13}$

Decimal Form:

$90.13878188 \dots$

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