Basic Math Examples

$\frac{- (- 195) - \sqrt{16^{2} - 4 \cdot 16 \cdot 0}}{2 (16)}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $- 1$ by $- 195$ .

$\frac{195 - \sqrt{16^{2} - 4 \cdot 16 \cdot 0}}{2 (16)}$

Step 1.2

Raise $16$ to the power of $2$ .

$\frac{195 - \sqrt{256 - 4 \cdot 16 \cdot 0}}{2 (16)}$

Step 1.3

Multiply $- 4 \cdot 16 \cdot 0$ .

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Step 1.3.1

Multiply $- 4$ by $16$ .

$\frac{195 - \sqrt{256 - 64 \cdot 0}}{2 (16)}$

Step 1.3.2

Multiply $- 64$ by $0$ .

$\frac{195 - \sqrt{256 + 0}}{2 (16)}$

Step 1.4

Add $256$ and $0$ .

$\frac{195 - \sqrt{256}}{2 (16)}$

Step 1.5

Rewrite $256$ as $16^{2}$ .

$\frac{195 - \sqrt{16^{2}}}{2 (16)}$

Step 1.6

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

$\frac{195 - 1 \cdot 16}{2 (16)}$

Step 1.7

Multiply $- 1$ by $16$ .

$\frac{195 - 16}{2 (16)}$

Step 1.8

Subtract $16$ from $195$ .

$\frac{179}{2 (16)}$

Step 2

Multiply $2$ by $16$ .

$\frac{179}{32}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{179}{32}$

Decimal Form:

$5.59375$

Mixed Number Form:

$5 \frac{19}{32}$