Solve 2.7+(2.575(.46)/sqrt{30})

$$2.7 + ( \frac { 2.575 ( .46 ) } { \sqrt { 30 } } )$$

Evaluate

$$\frac{2369\sqrt{30}}{60000}+2.7\approx 2.916259123$$

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}.

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