Basic Math Examples

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

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

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:

$5 \frac{19}{32}$