Solve 1-1/sqrt{11}

$$1- \frac{ 1 }{ \sqrt{ 11 } }$$

Evaluate

$$-\frac{\sqrt{11}}{11}+1\approx 0.698488655$$

Short Solution Steps

Rationalize the denominator of \frac{1}{\sqrt{11}} by multiplying numerator and denominator by \sqrt{11}.

$$1-\frac{\sqrt{11}}{\left(\sqrt{11}\right)^{2}}$$

The square of \sqrt{11} is 11.

$$1-\frac{\sqrt{11}}{11}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{11}{11}.

$$\frac{11}{11}-\frac{\sqrt{11}}{11}$$

Since \frac{11}{11} and \frac{\sqrt{11}}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11-\sqrt{11}}{11}$$