Solve 11.501-13^8.71286/sqrt{14}

$$11.501- { 13 }^{ } \frac{ 8.71286 }{ \sqrt{ 14 } }$$

Evaluate

$$-\frac{5663359\sqrt{14}}{700000}+11.501\approx -18.770927195$$

Solution Steps

Calculate 13 to the power of 1 and get 13.

$$11.501-13\times \frac{8.71286}{\sqrt{14}}$$

Rationalize the denominator of \frac{8.71286}{\sqrt{14}} by multiplying numerator and denominator by \sqrt{14}.

$$11.501-13\times \frac{8.71286\sqrt{14}}{\left(\sqrt{14}\right)^{2}}$$

The square of \sqrt{14} is 14.

$$11.501-13\times \frac{8.71286\sqrt{14}}{14}$$

Divide 8.71286\sqrt{14} by 14 to get \frac{435643}{700000}\sqrt{14}.

$$11.501-13\times \frac{435643}{700000}\sqrt{14}$$

Multiply 13 and \frac{435643}{700000} to get \frac{5663359}{700000}.

$$11.501-\frac{5663359}{700000}\sqrt{14}$$