Solve 1.375/sqrt{3}*2

$$\frac{ 1.375 }{ \sqrt{ 3 } } \times 2$$

Evaluate

$$\frac{11\sqrt{3}}{12}\approx 1.58771324$$

Solution Steps

Rationalize the denominator of \frac{1.375}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$2\times \frac{1.375\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$2\times \frac{1.375\sqrt{3}}{3}$$

Divide 1.375\sqrt{3} by 3 to get \frac{11}{24}\sqrt{3}.

$$2\times \frac{11}{24}\sqrt{3}$$

Multiply 2 and \frac{11}{24} to get \frac{11}{12}.

$$\frac{11}{12}\sqrt{3}$$