Basic Math Examples

$\frac{11}{\sqrt{17} + 8}$

Step 1

Multiply $\frac{11}{\sqrt{17} + 8}$ by $\frac{\sqrt{17} - 8}{\sqrt{17} - 8}$ .

$\frac{11}{\sqrt{17} + 8} \cdot \frac{\sqrt{17} - 8}{\sqrt{17} - 8}$

Step 2

Multiply $\frac{11}{\sqrt{17} + 8}$ by $\frac{\sqrt{17} - 8}{\sqrt{17} - 8}$ .

$\frac{11 (\sqrt{17} - 8)}{(\sqrt{17} + 8) (\sqrt{17} - 8)}$

Step 3

Expand the denominator using the FOIL method.

$\frac{11 (\sqrt{17} - 8)}{{\sqrt{17}}^{2} + \sqrt{17} \cdot - 8 + 8 \sqrt{17} - 64}$

Step 4

Simplify.

$\frac{11 (\sqrt{17} - 8)}{- 47}$

Step 5

Move the negative in front of the fraction.

$- \frac{11 (\sqrt{17} - 8)}{47}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{11 (\sqrt{17} - 8)}{47}$

Decimal Form:

$0.90735825 \dots$