Basic Math Examples

7 \sqrt{160}

$7 \sqrt{160}$

Step 1

Rewrite

160

$160$ as

4^{2} \cdot 10

$4^{2} \cdot 10$ .

Tap for more steps...

Step 1.1

Factor

16

$16$ out of

160

$160$ .

7 \sqrt{16 (10)}

$7 \sqrt{16 (10)}$

Step 1.2

Rewrite

16

$16$ as

4^{2}

$4^{2}$ .

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

$7 \sqrt{4^{2} \cdot 10}$

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

$7 \sqrt{4^{2} \cdot 10}$

Step 2

Pull terms out from under the radical.

7 (4 \sqrt{10})

$7 (4 \sqrt{10})$

Step 3

Multiply

4

$4$ by

7

$7$ .

28 \sqrt{10}

$28 \sqrt{10}$

Step 4

The result can be shown in multiple forms.

Exact Form:

28 \sqrt{10}

$28 \sqrt{10}$

Decimal Form:

88.54377448 \dots

$88.54377448 \dots$

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

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