Basic Math Examples

$7 \sqrt{5} + 4 \sqrt{5} - 2 \sqrt{5 - 8}$

Step 1

Simplify each term.

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Step 1.1

Subtract $8$ from $5$ .

$7 \sqrt{5} + 4 \sqrt{5} - 2 \sqrt{- 3}$

Step 1.2

Rewrite $- 3$ as $- 1 (3)$ .

$7 \sqrt{5} + 4 \sqrt{5} - 2 \sqrt{- 1 (3)}$

Step 1.3

Rewrite $\sqrt{- 1 (3)}$ as $\sqrt{- 1} \cdot \sqrt{3}$ .

$7 \sqrt{5} + 4 \sqrt{5} - 2 (\sqrt{- 1} \cdot \sqrt{3})$

Step 1.4

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

$7 \sqrt{5} + 4 \sqrt{5} - 2 i \sqrt{3}$

Step 2

Add $7 \sqrt{5}$ and $4 \sqrt{5}$ .

$11 \sqrt{5} - 2 i \sqrt{3}$