Evaluate square root of 14- square root of 350

$\sqrt{14} - \sqrt{350}$

Step 1

Simplify each term.

Rewrite $350$ as $5^{2} \cdot 14$ .

Factor $25$ out of $350$ .

$\sqrt{14} - \sqrt{25 (14)}$

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

$\sqrt{14} - \sqrt{5^{2} \cdot 14}$

$\sqrt{14} - \sqrt{5^{2} \cdot 14}$

Pull terms out from under the radical.

$\sqrt{14} - (5 \sqrt{14})$

Multiply $5$ by $- 1$ .

$\sqrt{14} - 5 \sqrt{14}$

$\sqrt{14} - 5 \sqrt{14}$

Step 2

Subtract $5 \sqrt{14}$ from $\sqrt{14}$ .

$- 4 \sqrt{14}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- 4 \sqrt{14}$

Decimal Form:

$- 14.96662954 \dots$

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