Solve frac{sqrt{4*5*6}}{2}

$$\frac { \sqrt { 4 \times 5 \times 6 } } { 2 }$$

Evaluate

$$\sqrt{30}\approx 5.477225575$$

Solution Steps

Multiply 4 and 5 to get 20.

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

Multiply 20 and 6 to get 120.

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

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}.

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

Cancel out 2 and 2.

$$\sqrt{30}$$