Basic Math Examples

$135 b c^{2} d^{3} \cdot \sqrt{5 b^{2} d}$

Step 1

Rewrite $5 b^{2} d$ as $b^{2} \cdot (5 d)$ .

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Step 1.1

Reorder $5$ and $b^{2}$ .

$135 b c^{2} d^{3} \cdot \sqrt{b^{2} \cdot 5 d}$

Step 1.2

Add parentheses.

$135 b c^{2} d^{3} \cdot \sqrt{b^{2} \cdot (5 d)}$

Step 2

Pull terms out from under the radical.

$135 b c^{2} d^{3} \cdot (b \sqrt{5 d})$

Step 3

Multiply $b$ by $b$ by adding the exponents.

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Step 3.1

Move $b$ .

$135 (b \cdot b) c^{2} d^{3} \cdot \sqrt{5 d}$

Step 3.2

Multiply $b$ by $b$ .

$135 b^{2} c^{2} d^{3} \cdot \sqrt{5 d}$

$135 b^{2} c^{2} d^{3} \sqrt{5 d}$