Solve frac{6sqrt{20}}{18}=

$$\frac { 6 \sqrt { 20 } } { 18 } =$$

Evaluate

$$\frac{2\sqrt{5}}{3}\approx 1.490711985$$

Solution Steps

Factor 20=2^{2}\times 5. Rewrite the square root of the product \sqrt{2^{2}\times 5} as the product of square roots \sqrt{2^{2}}\sqrt{5}. Take the square root of 2^{2}.

$$\frac{6\times 2\sqrt{5}}{18}$$

Multiply 6 and 2 to get 12.

$$\frac{12\sqrt{5}}{18}$$

Divide 12\sqrt{5} by 18 to get \frac{2}{3}\sqrt{5}.

$$\frac{2}{3}\sqrt{5}$$