Solve 1/2sqrt{72}

$$\frac{ 1 }{ 2 } \sqrt{ 72 }$$

Evaluate

$$3\sqrt{2}\approx 4.242640687$$

Solution Steps

Factor 72=6^{2}\times 2. Rewrite the square root of the product \sqrt{6^{2}\times 2} as the product of square roots \sqrt{6^{2}}\sqrt{2}. Take the square root of 6^{2}.

$$\frac{1}{2}\times 6\sqrt{2}$$

Multiply \frac{1}{2} and 6 to get \frac{6}{2}.

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

Divide 6 by 2 to get 3.

$$3\sqrt{2}$$