Solve -7.244-2/5sqrt{6}0.9

$$-7.244- \frac{ 2 }{ 5 } \sqrt{ 6 } 0.9$$

Evaluate

$$-\frac{9\sqrt{6}}{25}-7.244\approx -8.125816307$$

Solution Steps

Convert decimal number 0.9 to fraction \frac{9}{10}.

$$-7.244-\frac{9}{10}\times \frac{2}{5}\sqrt{6}$$

Multiply \frac{9}{10} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$-7.244-\frac{9\times 2}{10\times 5}\sqrt{6}$$

Do the multiplications in the fraction \frac{9\times 2}{10\times 5}.

$$-7.244-\frac{18}{50}\sqrt{6}$$

Reduce the fraction \frac{18}{50} to lowest terms by extracting and canceling out 2.

$$-7.244-\frac{9}{25}\sqrt{6}$$

Factor

$$\frac{-9 \sqrt{6} - 181.1}{25} = -8.125816307401944$$