Solve 4860/(sqrt{3)*(1,15*2)}=

$$\frac { 4860 } { ( \sqrt { 3 } ) \times ( 1,15 \times 2 ) } =$$

Evaluate

$$\frac{16200\sqrt{3}}{23}\approx 1219.966220983$$

Solution Steps

Multiply 1,15 and 2 to get 2,3.

$$\frac{4860}{\sqrt{3}\times 2,3}$$

Rationalize the denominator of \frac{4860}{\sqrt{3}\times 2,3} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{4860\sqrt{3}}{\left(\sqrt{3}\right)^{2}\times 2,3}$$

The square of \sqrt{3} is 3.

$$\frac{4860\sqrt{3}}{3\times 2,3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1620\sqrt{3}}{2,3}$$

Divide 1620\sqrt{3} by 2,3 to get \frac{16200}{23}\sqrt{3}.

$$\frac{16200}{23}\sqrt{3}$$