Solve -10-12/sqrt{29*66}

$$\frac { - 10 - 12 } { \sqrt { 29 \times 66 } }$$

Evaluate

$$-\frac{\sqrt{1914}}{87}\approx -0.502865353$$

Solution Steps

Subtract 12 from -10 to get -22.

$$\frac{-22}{\sqrt{29\times 66}}$$

Multiply 29 and 66 to get 1914.

$$\frac{-22}{\sqrt{1914}}$$

Rationalize the denominator of \frac{-22}{\sqrt{1914}} by multiplying numerator and denominator by \sqrt{1914}.

$$\frac{-22\sqrt{1914}}{\left(\sqrt{1914}\right)^{2}}$$

The square of \sqrt{1914} is 1914.

$$\frac{-22\sqrt{1914}}{1914}$$

Divide -22\sqrt{1914} by 1914 to get -\frac{1}{87}\sqrt{1914}.

$$-\frac{1}{87}\sqrt{1914}$$