Solve 11.3-15/6.431sqrt{115}

$$\frac { 11.3 - 15 } { 6.431 \sqrt { 115 } }$$

Evaluate

$$-\frac{740\sqrt{115}}{147913}\approx -0.053650564$$

Solution Steps

Subtract 15 from 11.3 to get -3.7.

$$\frac{-3.7}{6.431\sqrt{115}}$$

Rationalize the denominator of \frac{-3.7}{6.431\sqrt{115}} by multiplying numerator and denominator by \sqrt{115}.

$$\frac{-3.7\sqrt{115}}{6.431\left(\sqrt{115}\right)^{2}}$$

The square of \sqrt{115} is 115.

$$\frac{-3.7\sqrt{115}}{6.431\times 115}$$

Multiply 6.431 and 115 to get 739.565.

$$\frac{-3.7\sqrt{115}}{739.565}$$

Divide -3.7\sqrt{115} by 739.565 to get -\frac{740}{147913}\sqrt{115}.

$$-\frac{740}{147913}\sqrt{115}$$