Solve 2.55*120*10^-9/sqrt{3}

$$\frac { 2.55 \times 120 \times 10 ^ { - 9 } } { \sqrt { 3 } }$$

Evaluate

$$\frac{51\sqrt{3}}{500000000}\approx 0.000000177$$

Solution Steps

Multiply 2.55 and 120 to get 306.

$$\frac{306\times 10^{-9}}{\sqrt{3}}$$

Calculate 10 to the power of -9 and get \frac{1}{1000000000}.

$$\frac{306\times \frac{1}{1000000000}}{\sqrt{3}}$$

Multiply 306 and \frac{1}{1000000000} to get \frac{153}{500000000}.

$$\frac{\frac{153}{500000000}}{\sqrt{3}}$$

Express \frac{\frac{153}{500000000}}{\sqrt{3}} as a single fraction.

$$\frac{153}{500000000\sqrt{3}}$$

Rationalize the denominator of \frac{153}{500000000\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{153\sqrt{3}}{500000000\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{153\sqrt{3}}{500000000\times 3}$$

Cancel out 3 in both numerator and denominator.

$$\frac{51\sqrt{3}}{500000000}$$