Solve 44+frac{sqrt{33}}{7}-sqrt{65}

$$44 + \frac { \sqrt { 33 } } { 7 } - \sqrt { 65 }$$

Evaluate

$$\frac{\sqrt{33}}{7}+44-\sqrt{65}\approx 36.758394058$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 44-\sqrt{65} times \frac{7}{7}.

$$\frac{7\left(44-\sqrt{65}\right)}{7}+\frac{\sqrt{33}}{7}$$

Since \frac{7\left(44-\sqrt{65}\right)}{7} and \frac{\sqrt{33}}{7} have the same denominator, add them by adding their numerators.

$$\frac{7\left(44-\sqrt{65}\right)+\sqrt{33}}{7}$$

Do the multiplications in 7\left(44-\sqrt{65}\right)+\sqrt{33}.

$$\frac{308-7\sqrt{65}+\sqrt{33}}{7}$$

Factor

$$\frac{\sqrt{33} + 308 - 7 \sqrt{65}}{7} = 36.75839405834974$$