Solve sqrt{1-(-1.8)/2}

$$\sqrt{ \frac{ 1-(-1.8) }{ 2 } }$$

Evaluate

$$\frac{\sqrt{35}}{5}\approx 1.183215957$$

Solution Steps

The opposite of -1.8 is 1.8.

$$\sqrt{\frac{1+1.8}{2}}$$

Add 1 and 1.8 to get 2.8.

$$\sqrt{\frac{2.8}{2}}$$

Expand \frac{2.8}{2} by multiplying both numerator and the denominator by 10.

$$\sqrt{\frac{28}{20}}$$

Reduce the fraction \frac{28}{20} to lowest terms by extracting and canceling out 4.

$$\sqrt{\frac{7}{5}}$$

Rewrite the square root of the division \sqrt{\frac{7}{5}} as the division of square roots \frac{\sqrt{7}}{\sqrt{5}}.

$$\frac{\sqrt{7}}{\sqrt{5}}$$

Rationalize the denominator of \frac{\sqrt{7}}{\sqrt{5}} by multiplying numerator and denominator by \sqrt{5}.

$$\frac{\sqrt{7}\sqrt{5}}{\left(\sqrt{5}\right)^{2}}$$

The square of \sqrt{5} is 5.

$$\frac{\sqrt{7}\sqrt{5}}{5}$$

To multiply \sqrt{7} and \sqrt{5}, multiply the numbers under the square root.

$$\frac{\sqrt{35}}{5}$$