Solve sqrt{80000000000/0.06}=

$$\sqrt{ \frac{ 80000000000 }{ 0.06 } } =$$

Evaluate

$$\frac{2000000\sqrt{3}}{3}\approx 1154700.538379251$$

Solution Steps

Expand \frac{80000000000}{0.06} by multiplying both numerator and the denominator by 100.

$$\sqrt{\frac{8000000000000}{6}}$$

Reduce the fraction \frac{8000000000000}{6} to lowest terms by extracting and canceling out 2.

$$\sqrt{\frac{4000000000000}{3}}$$

Rewrite the square root of the division \sqrt{\frac{4000000000000}{3}} as the division of square roots \frac{\sqrt{4000000000000}}{\sqrt{3}}.

$$\frac{\sqrt{4000000000000}}{\sqrt{3}}$$

Calculate the square root of 4000000000000 and get 2000000.

$$\frac{2000000}{\sqrt{3}}$$

Rationalize the denominator of \frac{2000000}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{2000000\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$\frac{2000000\sqrt{3}}{3}$$