Algebra Examples

$18 \sqrt{a^{2}} \cdot 4 \sqrt{a^{3}}$

Step 1

Pull terms out from under the radical, assuming positive real numbers.

$18 a \cdot (4 \sqrt{a^{3}})$

Step 2

Factor out $a^{2}$ .

$18 a \cdot (4 \sqrt{a^{2} a})$

Step 3

Pull terms out from under the radical.

$18 a \cdot (4 (a \sqrt{a}))$

Step 4

Multiply $a$ by $a$ by adding the exponents.

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Step 4.1

Move $a$ .

$18 (a \cdot a) \cdot (4 (\sqrt{a}))$

Step 4.2

Multiply $a$ by $a$ .

$18 a^{2} \cdot (4 (\sqrt{a}))$

Step 5

Multiply $4$ by $18$ .

$72 a^{2} \sqrt{a}$