Solve 12+4divsqrt{3}

$$12+4 \div \sqrt{ 3 }$$

Evaluate

$$\frac{4\left(\sqrt{3}+9\right)}{3}\approx 14.309401077$$

Short Solution Steps

Rationalize the denominator of \frac{4}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$12+\frac{4\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$12+\frac{4\sqrt{3}}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 12 times \frac{3}{3}.

$$\frac{12\times 3}{3}+\frac{4\sqrt{3}}{3}$$

Since \frac{12\times 3}{3} and \frac{4\sqrt{3}}{3} have the same denominator, add them by adding their numerators.

$$\frac{12\times 3+4\sqrt{3}}{3}$$

Do the multiplications in 12\times 3+4\sqrt{3}.

$$\frac{36+4\sqrt{3}}{3}$$

Factor

$$\frac{4 {(\sqrt{3} + 9)}}{3} = 14.309401076758503$$