Solve 2.7-2.575*0.46/sqrt{30}

$$2.7- \frac{ 2.575 \cdot 0.46 }{ \sqrt{ 30 } }$$

Evaluate

$$-\frac{2369\sqrt{30}}{60000}+2.7\approx 2.483740877$$

Solution Steps

Multiply 2.575 and 0.46 to get 1.1845.

$$2.7-\frac{1.1845}{\sqrt{30}}$$

Rationalize the denominator of \frac{1.1845}{\sqrt{30}} by multiplying numerator and denominator by \sqrt{30}.

$$2.7-\frac{1.1845\sqrt{30}}{\left(\sqrt{30}\right)^{2}}$$

The square of \sqrt{30} is 30.

$$2.7-\frac{1.1845\sqrt{30}}{30}$$

Divide 1.1845\sqrt{30} by 30 to get \frac{2369}{60000}\sqrt{30}.

$$2.7-\frac{2369}{60000}\sqrt{30}$$