Simplify -2 square root of 18+ square root of 98

$- 2 \sqrt{18} + \sqrt{98}$

Simplify each term.

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Rewrite $18$ as $3^{2} \cdot 2$ .

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Factor $9$ out of $18$ .

$- 2 \sqrt{9 (2)} + \sqrt{98}$

Rewrite $9$ as $3^{2}$ .

$- 2 \sqrt{3^{2} \cdot 2} + \sqrt{98}$

Pull terms out from under the radical.

$- 2 (3 \sqrt{2}) + \sqrt{98}$

Multiply $3$ by $- 2$ .

$- 6 \sqrt{2} + \sqrt{98}$

Rewrite $98$ as $7^{2} \cdot 2$ .

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Factor $49$ out of $98$ .

$- 6 \sqrt{2} + \sqrt{49 (2)}$

Rewrite $49$ as $7^{2}$ .

$- 6 \sqrt{2} + \sqrt{7^{2} \cdot 2}$

Pull terms out from under the radical.

$- 6 \sqrt{2} + 7 \sqrt{2}$

Add $- 6 \sqrt{2}$ and $7 \sqrt{2}$ .

$\sqrt{2}$

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$

Simplify -2 square root of 18+ square root of 98

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