Trigonometry Examples

$\sqrt{5 (5 - 12) (5 - 16) (5 - 24)}$

Step 1

Simplify the expression.

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Step 1.1

Subtract $12$ from $5$ .

$\sqrt{5 \cdot - 7 (5 - 16) (5 - 24)}$

Step 1.2

Multiply $5$ by $- 7$ .

$\sqrt{- 35 (5 - 16) (5 - 24)}$

Step 1.3

Subtract $16$ from $5$ .

$\sqrt{- 35 \cdot - 11 (5 - 24)}$

Step 1.4

Multiply $- 35$ by $- 11$ .

$\sqrt{385 (5 - 24)}$

Step 1.5

Subtract $24$ from $5$ .

$\sqrt{385 \cdot - 19}$

Step 1.6

Multiply $385$ by $- 19$ .

$\sqrt{- 7315}$

Step 2

Rewrite $- 7315$ as $- 1 (7315)$ .

$\sqrt{- 1 (7315)}$

Step 3

Rewrite $\sqrt{- 1 (7315)}$ as $\sqrt{- 1} \cdot \sqrt{7315}$ .

$\sqrt{- 1} \cdot \sqrt{7315}$

Step 4

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

$i \sqrt{7315}$