Solve frac{sqrt{20*6}}{2*15}

$$\frac{ \sqrt{ 20 \times 6 } }{ 2 \times 15 }$$

Evaluate

$$\frac{\sqrt{30}}{15}\approx 0.365148372$$

Solution Steps

Multiply 20 and 6 to get 120.

$$\frac{\sqrt{120}}{2\times 15}$$

Factor 120=2^{2}\times 30. Rewrite the square root of the product \sqrt{2^{2}\times 30} as the product of square roots \sqrt{2^{2}}\sqrt{30}. Take the square root of 2^{2}.

$$\frac{2\sqrt{30}}{2\times 15}$$

Multiply 2 and 15 to get 30.

$$\frac{2\sqrt{30}}{30}$$

Divide 2\sqrt{30} by 30 to get \frac{1}{15}\sqrt{30}.

$$\frac{1}{15}\sqrt{30}$$