Calculus Examples

$10 \sqrt{4 - 7 \cdot 2 - 5 (2 - 3)}$

Step 1

Simplify the expression.

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Step 1.1

Multiply $- 7$ by $2$ .

$10 \sqrt{4 - 14 - 5 (2 - 3)}$

Step 1.2

Subtract $3$ from $2$ .

$10 \sqrt{4 - 14 - 5 \cdot - 1}$

Step 1.3

Multiply $- 5$ by $- 1$ .

$10 \sqrt{4 - 14 + 5}$

Step 1.4

Subtract $14$ from $4$ .

$10 \sqrt{- 10 + 5}$

Step 1.5

Add $- 10$ and $5$ .

$10 \sqrt{- 5}$

Step 2

Rewrite $- 5$ as $- 1 (5)$ .

$10 \sqrt{- 1 (5)}$

Step 3

Rewrite $\sqrt{- 1 (5)}$ as $\sqrt{- 1} \cdot \sqrt{5}$ .

$10 (\sqrt{- 1} \cdot \sqrt{5})$

Step 4

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

$10 i \sqrt{5}$