Trigonometry Examples

$\frac{- 7 \sqrt{7^{2} - 4 \cdot 0}}{2}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Raise $7$ to the power of $2$ .

$\frac{- 7 \sqrt{49 - 4 \cdot 0}}{2}$

Step 1.2

Multiply $- 4$ by $0$ .

$\frac{- 7 \sqrt{49 + 0}}{2}$

Step 1.3

Add $49$ and $0$ .

$\frac{- 7 \sqrt{49}}{2}$

Step 1.4

Rewrite $49$ as $7^{2}$ .

$\frac{- 7 \sqrt{7^{2}}}{2}$

Step 1.5

Pull terms out from under the radical, assuming positive real numbers.

$\frac{- 7 \cdot 7}{2}$

Step 2

Simplify the expression.

Tap for more steps...

Step 2.1

Multiply $- 7$ by $7$ .

$\frac{- 49}{2}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{49}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{49}{2}$

Decimal Form:

$- 24.5$

Mixed Number Form:

$- 24 \frac{1}{2}$