Finite Math Examples

$\frac{1}{2} \cdot (1 + 3 \sqrt{17})$

Step 1

Apply the distributive property.

$\frac{1}{2} \cdot 1 + \frac{1}{2} (3 \sqrt{17})$

Step 2

Multiply $\frac{1}{2}$ by $1$ .

$\frac{1}{2} + \frac{1}{2} (3 \sqrt{17})$

Step 3

Multiply $\frac{1}{2} (3 \sqrt{17})$ .

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Step 3.1

Combine $3$ and $\frac{1}{2}$ .

$\frac{1}{2} + \frac{3}{2} \sqrt{17}$

Step 3.2

Combine $\frac{3}{2}$ and $\sqrt{17}$ .

$\frac{1}{2} + \frac{3 \sqrt{17}}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{1 + 3 \sqrt{17}}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1 + 3 \sqrt{17}}{2}$

Decimal Form:

$6.68465843 \dots$