Solve 3,2-0/1.833/sqrt{10}

$$\frac { \frac { 3,2 - 0 } { 1.833 } } { \sqrt { 10 } }$$

Evaluate

$$\frac{320\sqrt{10}}{1833}\approx 0.552061566$$

Solution Steps

Express \frac{\frac{3.2-0}{1.833}}{\sqrt{10}} as a single fraction.

$$\frac{3.2-0}{1.833\sqrt{10}}$$

Subtract 0 from 3.2 to get 3.2.

$$\frac{3.2}{1.833\sqrt{10}}$$

Rationalize the denominator of \frac{3.2}{1.833\sqrt{10}} by multiplying numerator and denominator by \sqrt{10}.

$$\frac{3.2\sqrt{10}}{1.833\left(\sqrt{10}\right)^{2}}$$

The square of \sqrt{10} is 10.

$$\frac{3.2\sqrt{10}}{1.833\times 10}$$

Multiply 1.833 and 10 to get 18.33.

$$\frac{3.2\sqrt{10}}{18.33}$$

Divide 3.2\sqrt{10} by 18.33 to get \frac{320}{1833}\sqrt{10}.

$$\frac{320}{1833}\sqrt{10}$$