Trigonometry Examples

$\frac{9.01 - 9}{(\sqrt{9.01}) - 3}$

Step 1

Subtract $9$ from $9.01$ .

$\frac{0.01}{\sqrt{9.01} - 3}$

Step 2

Multiply $\frac{0.01}{\sqrt{9.01} - 3}$ by $\frac{\sqrt{9.01} + 3}{\sqrt{9.01} + 3}$ .

$\frac{0.01}{\sqrt{9.01} - 3} \cdot \frac{\sqrt{9.01} + 3}{\sqrt{9.01} + 3}$

Step 3

Multiply $\frac{0.01}{\sqrt{9.01} - 3}$ by $\frac{\sqrt{9.01} + 3}{\sqrt{9.01} + 3}$ .

$\frac{0.01 (\sqrt{9.01} + 3)}{(\sqrt{9.01} - 3) (\sqrt{9.01} + 3)}$

Step 4

Expand the denominator using the FOIL method.

$\frac{0.01 (\sqrt{9.01} + 3)}{{\sqrt{9.01}}^{2} + \sqrt{9.01} \cdot 3 - 3 \sqrt{9.01} - 9}$

Step 5

Simplify.

$\frac{0.01 (\sqrt{9.01} + 3)}{0.01}$

Step 6

Cancel the common factor of $0.01$ .

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Step 6.1

Cancel the common factor.

$\frac{0.01 (\sqrt{9.01} + 3)}{0.01}$

Step 6.2

Divide $\sqrt{9.01} + 3$ by $1$ .

$\sqrt{9.01} + 3$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\sqrt{9.01} + 3$

Decimal Form:

$6.00166620 \dots$