Basic Math Examples

4 \sqrt{40}

$4 \sqrt{40}$

Step 1

Rewrite

40

$40$ as

2^{2} \cdot 10

$2^{2} \cdot 10$ .

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Step 1.1

Factor

4

$4$ out of

40

$40$ .

4 \sqrt{4 (10)}

$4 \sqrt{4 (10)}$

Step 1.2

Rewrite

4

$4$ as

2^{2}

$2^{2}$ .

4 \sqrt{2^{2} \cdot 10}

$4 \sqrt{2^{2} \cdot 10}$

4 \sqrt{2^{2} \cdot 10}

$4 \sqrt{2^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

4 (2 \sqrt{10})

$4 (2 \sqrt{10})$

Step 3

Multiply

2

$2$ by

4

$4$ .

8 \sqrt{10}

$8 \sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

8 \sqrt{10}

$8 \sqrt{10}$

Decimal Form:

25.29822128 \dots

$25.29822128 \dots$

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

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