Solve sqrt{0.003*3.84*10^8}

$$\sqrt { 0.003 \times 3.84 \times 10 ^ { 8 } }$$

Evaluate

$$480\sqrt{5}\approx 1073.3126292$$

Solution Steps

Multiply 0.003 and 3.84 to get 0.01152.

$$\sqrt{0.01152\times 10^{8}}$$

Calculate 10 to the power of 8 and get 100000000.

$$\sqrt{0.01152\times 100000000}$$

Multiply 0.01152 and 100000000 to get 1152000.

$$\sqrt{1152000}$$

Factor 1152000=480^{2}\times 5. Rewrite the square root of the product \sqrt{480^{2}\times 5} as the product of square roots \sqrt{480^{2}}\sqrt{5}. Take the square root of 480^{2}.

$$480\sqrt{5}$$