Trigonometry Examples

$\sqrt{\frac{- {9.81}^{2}}{(2) (0.7)} \cdot (0.25)}$

Step 1

Combine $\frac{- {9.81}^{2}}{(2) (0.7)}$ and $0.25$ .

$\sqrt{\frac{- {9.81}^{2} \cdot 0.25}{(2) (0.7)}}$

Step 2

Simplify the numerator.

Tap for more steps...

Step 2.1

Multiply $0.25$ by $- 1$ .

$\sqrt{\frac{- 0.25 \cdot {9.81}^{2}}{(2) (0.7)}}$

Step 2.2

Multiply $- 0.25$ by ${9.81}^{2}$ .

$\sqrt{\frac{- 24.059025}{(2) (0.7)}}$

Step 3

Simplify with factoring out.

Tap for more steps...

Step 3.1

Multiply $2$ by $0.7$ .

$\sqrt{\frac{- 24.059025}{1.4}}$

Step 3.2

Divide $- 24.059025$ by $1.4$ .

$\sqrt{- 17.18501785}$

Step 3.3

Rewrite $- 17.18501785$ as $- 1 (17.18501785)$ .

$\sqrt{- 1 (17.18501785)}$

Step 4

Rewrite $\sqrt{- 1 (17.18501785)}$ as $\sqrt{- 1} \cdot \sqrt{17.18501785}$ .

$\sqrt{- 1} \cdot \sqrt{17.18501785}$

Step 5

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

$i \sqrt{17.18501785}$