Evaluate square root of 75+ square root of 48

$\sqrt{75} + \sqrt{48}$

Simplify each term.

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Rewrite $75$ as $5^{2} \cdot 3$ .

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Factor $25$ out of $75$ .

$\sqrt{25 (3)} + \sqrt{48}$

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2} \cdot 3} + \sqrt{48}$

Pull terms out from under the radical.

$5 \sqrt{3} + \sqrt{48}$

Rewrite $48$ as $4^{2} \cdot 3$ .

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Factor $16$ out of $48$ .

$5 \sqrt{3} + \sqrt{16 (3)}$

Rewrite $16$ as $4^{2}$ .

$5 \sqrt{3} + \sqrt{4^{2} \cdot 3}$

Pull terms out from under the radical.

$5 \sqrt{3} + 4 \sqrt{3}$

Add $5 \sqrt{3}$ and $4 \sqrt{3}$ .

$9 \sqrt{3}$

The result can be shown in multiple forms.

Exact Form:

$9 \sqrt{3}$

Decimal Form:

$15.58845726 \dots$

Evaluate square root of 75+ square root of 48

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