Basic Math Examples

$\sqrt{22} \cdot \sqrt{5 j^{3} k^{2}}$

Step 1

Rewrite $5 j^{3} k^{2}$ as ${(j k)}^{2} \cdot (5 j)$ .

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Step 1.1

Factor out $j^{2}$ .

$\sqrt{22} \cdot \sqrt{5 (j^{2} j) k^{2}}$

Step 1.2

Move $j$ .

$\sqrt{22} \cdot \sqrt{5 (j^{2}) k^{2} j}$

Step 1.3

Move $5$ .

$\sqrt{22} \cdot \sqrt{(j^{2}) k^{2} \cdot 5 j}$

Step 1.4

Rewrite $(j^{2}) k^{2}$ as ${(j k)}^{2}$ .

$\sqrt{22} \cdot \sqrt{{(j k)}^{2} \cdot 5 j}$

Step 1.5

Add parentheses.

$\sqrt{22} \cdot \sqrt{{(j k)}^{2} \cdot (5 j)}$

$\sqrt{22} \cdot \sqrt{{(j k)}^{2} \cdot (5 j)}$

Step 2

Pull terms out from under the radical.

$\sqrt{22} \cdot (j k \sqrt{5 j})$

Step 3

Multiply $\sqrt{22} (j k \sqrt{5 j})$ .

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Step 3.1

Combine using the product rule for radicals.

$j k \sqrt{22 (5 j)}$

Step 3.2

Multiply $22$ by $5$ .

$j k \sqrt{110 j}$

$j k \sqrt{110 j}$

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