Solve frac{cossqrt{6}}{5sqrt{2}}

$$\frac { \cos \sqrt { 6 } } { 5 \sqrt { 2 } }$$

Evaluate

$$\frac{999086286919819\sqrt{2}}{10000000000000000}\approx 0.141292138$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{0.999086286919819}{5 \sqrt{2}}$$

Rationalize the denominator of \frac{0.999086286919819}{5\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.

$$\frac{0.999086286919819\sqrt{2}}{5\left(\sqrt{2}\right)^{2}}$$

The square of \sqrt{2} is 2.

$$\frac{0.999086286919819\sqrt{2}}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$\frac{0.999086286919819\sqrt{2}}{10}$$

Divide 0.999086286919819\sqrt{2} by 10 to get 0.0999086286919819\sqrt{2}.

$$0.0999086286919819\sqrt{2}$$