Basic Math Examples

5 \sqrt{147}

$5 \sqrt{147}$

Step 1

Rewrite

147

$147$ as

7^{2} \cdot 3

$7^{2} \cdot 3$ .

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Step 1.1

Factor

49

$49$ out of

147

$147$ .

5 \sqrt{49 (3)}

$5 \sqrt{49 (3)}$

Step 1.2

Rewrite

49

$49$ as

7^{2}

$7^{2}$ .

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

$5 \sqrt{7^{2} \cdot 3}$

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

$5 \sqrt{7^{2} \cdot 3}$

Step 2

Pull terms out from under the radical.

5 (7 \sqrt{3})

$5 (7 \sqrt{3})$

Step 3

Multiply

7

$7$ by

5

$5$ .

35 \sqrt{3}

$35 \sqrt{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

35 \sqrt{3}

$35 \sqrt{3}$

Decimal Form:

60.62177826 \dots

$60.62177826 \dots$

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

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