Solve sqrt{1.2*10^3*40}

$$\sqrt{ 1.2 \times { 10 }^{ 3 } \times 40 }$$

Evaluate

$$40\sqrt{30}\approx 219.089023002$$

Solution Steps

Calculate 10 to the power of 3 and get 1000.

$$\sqrt{1.2\times 1000\times 40}$$

Multiply 1.2 and 1000 to get 1200.

$$\sqrt{1200\times 40}$$

Multiply 1200 and 40 to get 48000.

$$\sqrt{48000}$$

Factor 48000=40^{2}\times 30. Rewrite the square root of the product \sqrt{40^{2}\times 30} as the product of square roots \sqrt{40^{2}}\sqrt{30}. Take the square root of 40^{2}.

$$40\sqrt{30}$$