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Simplify square root of 125+ square root of 5

$\sqrt{125} + \sqrt{5}$

Step 1

Simplify each term.

Rewrite $125$ as $5^{2} \cdot 5$ .

Factor $25$ out of $125$ .

$\sqrt{25 (5)} + \sqrt{5}$

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

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

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

Pull terms out from under the radical.

$5 \sqrt{5} + \sqrt{5}$

$5 \sqrt{5} + \sqrt{5}$

Step 2

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

$6 \sqrt{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$6 \sqrt{5}$

Decimal Form:

$13.41640786 \dots$

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