Finite Math Examples

$0.25 \cdot (\frac{61}{2} + 28 \sqrt{15})$

Step 1

To write $28 \sqrt{15}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$0.25 \cdot (\frac{61}{2} + 28 \sqrt{15} \cdot \frac{2}{2})$

Step 2

Combine $28 \sqrt{15}$ and $\frac{2}{2}$ .

$0.25 \cdot (\frac{61}{2} + \frac{28 \sqrt{15} \cdot 2}{2})$

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

$0.25 \cdot \frac{61 + 28 \sqrt{15} \cdot 2}{2}$

Step 3.2

Multiply $2$ by $28$ .

$0.25 \cdot \frac{61 + 56 \sqrt{15}}{2}$

Step 4

Cancel the common factor of $0.25$ .

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Step 4.1

Factor $0.25$ out of $2$ .

$0.25 \cdot \frac{61 + 56 \sqrt{15}}{0.25 (8)}$

Step 4.2

Cancel the common factor.

$0.25 \cdot \frac{61 + 56 \sqrt{15}}{0.25 \cdot 8}$

Step 4.3

Rewrite the expression.

$\frac{61 + 56 \sqrt{15}}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{61 + 56 \sqrt{15}}{8}$

Decimal Form:

$34.73588342 \dots$