Basic Math Examples

$\frac{9.06}{6.24 + \sqrt{9.63}}$

Step 1

Multiply $\frac{9.06}{6.24 + \sqrt{9.63}}$ by $\frac{6.24 - \sqrt{9.63}}{6.24 - \sqrt{9.63}}$ .

$\frac{9.06}{6.24 + \sqrt{9.63}} \cdot \frac{6.24 - \sqrt{9.63}}{6.24 - \sqrt{9.63}}$

Step 2

Multiply $\frac{9.06}{6.24 + \sqrt{9.63}}$ by $\frac{6.24 - \sqrt{9.63}}{6.24 - \sqrt{9.63}}$ .

$\frac{9.06 (6.24 - \sqrt{9.63})}{(6.24 + \sqrt{9.63}) (6.24 - \sqrt{9.63})}$

Step 3

Expand the denominator using the FOIL method.

$\frac{9.06 (6.24 - \sqrt{9.63})}{38.9376 - 19.36411857 + 19.36411857 - {\sqrt{9.63}}^{2}}$

Step 4

Simplify.

$\frac{9.06 (6.24 - \sqrt{9.63})}{29.3076}$

Step 5

Multiply $9.06$ by $6.24 - \sqrt{9.63}$ .

$\frac{28.41918938}{29.3076}$

Step 6

Divide $28.41918938$ by $29.3076$ .

$0.96968668$