Linear Algebra Examples

$\frac{- 3 \sqrt{3^{2} + 16}}{2}$

Step 1

Simplify the numerator.

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Step 1.1

Raise $3$ to the power of $2$ .

$\frac{- 3 \sqrt{9 + 16}}{2}$

Step 1.2

Add $9$ and $16$ .

$\frac{- 3 \sqrt{25}}{2}$

Step 1.3

Rewrite $25$ as $5^{2}$ .

$\frac{- 3 \sqrt{5^{2}}}{2}$

Step 1.4

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

$\frac{- 3 \cdot 5}{2}$

Step 2

Simplify the expression.

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Step 2.1

Multiply $- 3$ by $5$ .

$\frac{- 15}{2}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{15}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{15}{2}$

Decimal Form:

$- 7.5$

Mixed Number Form:

$- 7 \frac{1}{2}$