Solve =1/2*sqrt{600}*18^2

$$= \frac { 1 } { 2 } \times \sqrt { 600 } \times 18 ^ { 2 }$$

Evaluate

$$1620\sqrt{6}\approx 3968.173383309$$

Solution Steps

Factor 600=10^{2}\times 6. Rewrite the square root of the product \sqrt{10^{2}\times 6} as the product of square roots \sqrt{10^{2}}\sqrt{6}. Take the square root of 10^{2}.

$$\frac{1}{2}\times 10\sqrt{6}\times 18^{2}$$

Multiply \frac{1}{2} and 10 to get \frac{10}{2}.

$$\frac{10}{2}\sqrt{6}\times 18^{2}$$

Divide 10 by 2 to get 5.

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

Calculate 18 to the power of 2 and get 324.

$$5\sqrt{6}\times 324$$

Multiply 5 and 324 to get 1620.

$$1620\sqrt{6}$$