Solve frac{23+2^2-66:sqrt{6}}{33}

$$\frac { 23 + 2 ^ { 2 } - 66 : \sqrt { 6 } } { 33 }$$

Evaluate

$$-\frac{\sqrt{6}}{3}+\frac{9}{11}\approx 0.001685237$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{23+4-\frac{66}{\sqrt{6}}}{33}$$

Add 23 and 4 to get 27.

$$\frac{27-\frac{66}{\sqrt{6}}}{33}$$

Rationalize the denominator of \frac{66}{\sqrt{6}} by multiplying numerator and denominator by \sqrt{6}.

$$\frac{27-\frac{66\sqrt{6}}{\left(\sqrt{6}\right)^{2}}}{33}$$

The square of \sqrt{6} is 6.

$$\frac{27-\frac{66\sqrt{6}}{6}}{33}$$

Divide 66\sqrt{6} by 6 to get 11\sqrt{6}.

$$\frac{27-11\sqrt{6}}{33}$$