Algebra Examples

$\sqrt{14} \cdot \sqrt{6}$

Step 1

Combine using the product rule for radicals.

$\sqrt{14 \cdot 6}$

Step 2

Multiply $14$ by $6$ .

$\sqrt{84}$

Step 3

Rewrite $84$ as $2^{2} \cdot 21$ .

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Step 3.1

Factor $4$ out of $84$ .

$\sqrt{4 (21)}$

Step 3.2

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2} \cdot 21}$

$\sqrt{2^{2} \cdot 21}$

Step 4

Pull terms out from under the radical.

$2 \sqrt{21}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$2 \sqrt{21}$

Decimal Form:

$9.16515138 \dots$

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