Basic Math Examples

$(\sqrt{5 - 8}) (\sqrt{5 + 8})$

Step 1

Combine using the product rule for radicals.

$\sqrt{(5 - 8) (5 + 8)}$

Step 2

Simplify the expression.

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Step 2.1

Subtract $8$ from $5$ .

$\sqrt{- 3 (5 + 8)}$

Step 2.2

Add $5$ and $8$ .

$\sqrt{- 3 \cdot 13}$

Step 2.3

Multiply $- 3$ by $13$ .

$\sqrt{- 39}$

Step 3

Rewrite $- 39$ as $- 1 (39)$ .

$\sqrt{- 1 (39)}$

Step 4

Rewrite $\sqrt{- 1 (39)}$ as $\sqrt{- 1} \cdot \sqrt{39}$ .

$\sqrt{- 1} \cdot \sqrt{39}$

Step 5

Rewrite $\sqrt{- 1}$ as $i$ .

$i \sqrt{39}$