Pre-Algebra Examples

$3 \sqrt{343}$

Step 1

Rewrite $343$ as $7^{2} \cdot 7$ .

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Step 1.1

Factor $49$ out of $343$ .

$3 \sqrt{49 (7)}$

Step 1.2

Rewrite $49$ as $7^{2}$ .

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

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

Step 2

Pull terms out from under the radical.

$3 (7 \sqrt{7})$

Step 3

Multiply $7$ by $3$ .

$21 \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$21 \sqrt{7}$

Decimal Form:

$55.56077753 \dots$

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