Solve sqrt{60*10*10*40}

$$\sqrt{ 60 \times 10 \times 10 \times 40 }$$

Evaluate

$$200\sqrt{6}\approx 489.897948557$$

Solution Steps

Multiply 60 and 10 to get 600.

$$\sqrt{600\times 10\times 40}$$

Multiply 600 and 10 to get 6000.

$$\sqrt{6000\times 40}$$

Multiply 6000 and 40 to get 240000.

$$\sqrt{240000}$$

Factor 240000=200^{2}\times 6. Rewrite the square root of the product \sqrt{200^{2}\times 6} as the product of square roots \sqrt{200^{2}}\sqrt{6}. Take the square root of 200^{2}.

$$200\sqrt{6}$$