Solve frac{3-3sqrt{65}}{5}-6

$$\frac { 3 - 3 \sqrt { 65 } } { 5 } - 6$$

Evaluate

$$\frac{-3\sqrt{65}-27}{5}\approx -10.237354649$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{5}{5}.

$$\frac{3-3\sqrt{65}}{5}-\frac{6\times 5}{5}$$

Since \frac{3-3\sqrt{65}}{5} and \frac{6\times 5}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-3\sqrt{65}-6\times 5}{5}$$

Do the multiplications in 3-3\sqrt{65}-6\times 5.

$$\frac{3-3\sqrt{65}-30}{5}$$

Do the calculations in 3-3\sqrt{65}-30.

$$\frac{-27-3\sqrt{65}}{5}$$

Factor

$$\frac{3 {(-\sqrt{65} - 9)}}{5} = -10.23735464897913$$