Evaluate square root of 4975^2+2475^2

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Trigonometry

$\sqrt{4975^{2} + 2475^{2}}$

Raise $4975$ to the power of $2$ .

$\sqrt{24750625 + 2475^{2}}$

Raise $2475$ to the power of $2$ .

$\sqrt{24750625 + 6125625}$

Add $24750625$ and $6125625$ .

$\sqrt{30876250}$

Rewrite $30876250$ as $25^{2} \cdot 49402$ .

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Factor $625$ out of $30876250$ .

$\sqrt{625 (49402)}$

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

$\sqrt{25^{2} \cdot 49402}$

Pull terms out from under the radical.

$25 \sqrt{49402}$

The result can be shown in multiple forms.

Exact Form:

$25 \sqrt{49402}$

Decimal Form:

$5556.64017190 \dots$

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