Basic Math Examples

$\sqrt{3 a} \cdot \sqrt{37 a^{2}}$

Step 1

Reorder $37$ and $a^{2}$ .

$\sqrt{3 a} \cdot \sqrt{a^{2} \cdot 37}$

Step 2

Pull terms out from under the radical.

$\sqrt{3 a} \cdot (a \sqrt{37})$

Step 3

Rewrite using the commutative property of multiplication.

$\sqrt{37} \sqrt{3 a} a$

Step 4

Multiply $\sqrt{37} \sqrt{3 a}$ .

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Step 4.1

Combine using the product rule for radicals.

$\sqrt{37 (3 a)} a$

Step 4.2

Multiply $37$ by $3$ .

$\sqrt{111 a} a$