Solve 452/52+sqrt{561}-562^2

$$\frac{ 452 }{ 52 } + \sqrt{ 561 } - { 562 }^{ 2 }$$

Evaluate

$$\sqrt{561}-\frac{4105859}{13}\approx -315811.622253743$$

Solution Steps

Reduce the fraction \frac{452}{52} to lowest terms by extracting and canceling out 4.

$$\frac{113}{13}+\sqrt{561}-562^{2}$$

Calculate 562 to the power of 2 and get 315844.

$$\frac{113}{13}+\sqrt{561}-315844$$

Convert 315844 to fraction \frac{4105972}{13}.

$$\frac{113}{13}+\sqrt{561}-\frac{4105972}{13}$$

Since \frac{113}{13} and \frac{4105972}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{113-4105972}{13}+\sqrt{561}$$

Subtract 4105972 from 113 to get -4105859.

$$-\frac{4105859}{13}+\sqrt{561}$$

Factor

$$\frac{13 \sqrt{561} - 4105859}{13} = -315811.62225374306$$