Algebra Examples

$\sqrt{2} \cdot \sqrt{3} \cdot \sqrt{6}$

Step 1

Combine using the product rule for radicals.

$\sqrt{2 \cdot 3} \cdot \sqrt{6}$

Step 2

Combine using the product rule for radicals.

$\sqrt{2 \cdot 3 \cdot 6}$

Step 3

Write the expression using exponents.

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Step 3.1

Multiply $2$ by $3$ .

$\sqrt{6 \cdot 6}$

Step 3.2

Multiply $6$ by $6$ .

$\sqrt{36}$

Step 3.3

Rewrite $36$ as $6^{2}$ .

$\sqrt{6^{2}}$

Step 3.4

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

$6$