Solve frac{3sqrt{2}}{2}+18/3

$$\frac { 3 \sqrt { 2 } } { 2 } + \frac { 18 } { 3 }$$

Evaluate

$$\frac{3\left(\sqrt{2}+4\right)}{2}\approx 8.121320344$$

Short Solution Steps

Divide 18 by 3 to get 6.

$$\frac{3\sqrt{2}}{2}+6$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 6 times \frac{2}{2}.

$$\frac{3\sqrt{2}}{2}+\frac{6\times 2}{2}$$

Since \frac{3\sqrt{2}}{2} and \frac{6\times 2}{2} have the same denominator, add them by adding their numerators.

$$\frac{3\sqrt{2}+6\times 2}{2}$$

Do the multiplications in 3\sqrt{2}+6\times 2.

$$\frac{3\sqrt{2}+12}{2}$$

Factor

$$\frac{3 {(\sqrt{2} + 4)}}{2} = 8.121320343559642$$