Solve 0.63*1*sqrt{24}*(300)(600)^2/6

$$0.63 \times 1 \times \sqrt { 24 } \times \frac { ( 300 ) ( 600 ) ^ { 2 } } { 6 }$$

Evaluate

$$22680000\sqrt{6}\approx 55554427.366322473$$

Solution Steps

Multiply 0.63 and 1 to get 0.63.

$$0.63\sqrt{24}\times \frac{300\times 600^{2}}{6}$$

Factor 24=2^{2}\times 6. Rewrite the square root of the product \sqrt{2^{2}\times 6} as the product of square roots \sqrt{2^{2}}\sqrt{6}. Take the square root of 2^{2}.

$$0.63\times 2\sqrt{6}\times \frac{300\times 600^{2}}{6}$$

Multiply 0.63 and 2 to get 1.26.

$$1.26\sqrt{6}\times \frac{300\times 600^{2}}{6}$$

Calculate 600 to the power of 2 and get 360000.

$$1.26\sqrt{6}\times \frac{300\times 360000}{6}$$

Multiply 300 and 360000 to get 108000000.

$$1.26\sqrt{6}\times \frac{108000000}{6}$$

Divide 108000000 by 6 to get 18000000.

$$1.26\sqrt{6}\times 18000000$$

Multiply 1.26 and 18000000 to get 22680000.

$$22680000\sqrt{6}$$