Solve a^2+3/2frac{2sqrt{3}}{5}

$$a ^ { 2 } + \frac { 3 } { 2 } \frac { 2 \sqrt { 3 } } { 5 }$$

Evaluate

$$a^{2}+\frac{3\sqrt{3}}{5}$$

Short Solution Steps

Multiply \frac{3}{2} times \frac{2\sqrt{3}}{5} by multiplying numerator times numerator and denominator times denominator.

$$a^{2}+\frac{3\times 2\sqrt{3}}{2\times 5}$$

Cancel out 2 in both numerator and denominator.

$$a^{2}+\frac{3\sqrt{3}}{5}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply a^{2} times \frac{5}{5}.

$$\frac{5a^{2}}{5}+\frac{3\sqrt{3}}{5}$$

Since \frac{5a^{2}}{5} and \frac{3\sqrt{3}}{5} have the same denominator, add them by adding their numerators.

$$\frac{5a^{2}+3\sqrt{3}}{5}$$

Factor

$$\frac{5a^{2}+3\sqrt{3}}{5}$$

Solution Steps

Factor out \frac{1}{5}. Polynomial 5a^{2}+3\sqrt{3} is not factored since it does not have any rational roots.

$$\frac{5a^{2}+3\sqrt{3}}{5}$$