Basic Math Examples

$(\sqrt{13 + 5}) (\sqrt{13 - 5})$

Step 1

Combine using the product rule for radicals.

$\sqrt{(13 + 5) (13 - 5)}$

Step 2

Simplify the expression.

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Step 2.1

Add $13$ and $5$ .

$\sqrt{18 (13 - 5)}$

Step 2.2

Subtract $5$ from $13$ .

$\sqrt{18 \cdot 8}$

Step 2.3

Multiply $18$ by $8$ .

$\sqrt{144}$

Step 2.4

Rewrite $144$ as $12^{2}$ .

$\sqrt{12^{2}}$

Step 2.5

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

$12$