Solve 32-0/1833/sqrt{10}

$$\frac { \frac { 32 - 0 } { 1833 } } { \sqrt { 10 } }$$

Evaluate

$$\frac{16\sqrt{10}}{9165}\approx 0.005520616$$

Solution Steps

Express \frac{\frac{32-0}{1833}}{\sqrt{10}} as a single fraction.

$$\frac{32-0}{1833\sqrt{10}}$$

Subtract 0 from 32 to get 32.

$$\frac{32}{1833\sqrt{10}}$$

Rationalize the denominator of \frac{32}{1833\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

$$\frac{32\sqrt{10}}{1833\left(\sqrt{10}\right)^{2}}$$

The square of \sqrt{10} is 10.

$$\frac{32\sqrt{10}}{1833\times 10}$$

Cancel out 2 in both numerator and denominator.

$$\frac{16\sqrt{10}}{5\times 1833}$$

Multiply 5 and 1833 to get 9165.

$$\frac{16\sqrt{10}}{9165}$$