Basic Math Examples

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

Step 1

Simplify each term.

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Step 1.1

Rewrite

$18$ as

$3^{2} \cdot 2$ .

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Step 1.1.1

Factor

$9$ out of

$18$ .

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

Step 1.1.2

Rewrite

$9$ as

$3^{2}$ .

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

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

Step 1.2

Pull terms out from under the radical.

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

Step 1.3

Multiply

$3$ by

$- 2$ .

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

Step 1.4

Rewrite

$98$ as

$7^{2} \cdot 2$ .

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Step 1.4.1

Factor

$49$ out of

$98$ .

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

Step 1.4.2

Rewrite

$49$ as

$7^{2}$ .

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

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

Step 1.5

Pull terms out from under the radical.

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

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

Step 2

Add

$- 6 \sqrt{2}$ and

$7 \sqrt{2}$ .

$\sqrt{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$