Basic Math Examples

3 \sqrt{98}

$3 \sqrt{98}$

Step 1

Rewrite

98

$98$ as

7^{2} \cdot 2

$7^{2} \cdot 2$ .

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Step 1.1

Factor

49

$49$ out of

98

$98$ .

3 \sqrt{49 (2)}

$3 \sqrt{49 (2)}$

Step 1.2

Rewrite

49

$49$ as

7^{2}

$7^{2}$ .

3 \sqrt{7^{2} \cdot 2}

$3 \sqrt{7^{2} \cdot 2}$

3 \sqrt{7^{2} \cdot 2}

$3 \sqrt{7^{2} \cdot 2}$

Step 2

Pull terms out from under the radical.

3 (7 \sqrt{2})

$3 (7 \sqrt{2})$

Step 3

Multiply

7

$7$ by

3

$3$ .

21 \sqrt{2}

$21 \sqrt{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

21 \sqrt{2}

$21 \sqrt{2}$

Decimal Form:

29.69848480 \dots

$29.69848480 \dots$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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