Solve sqrt{6371*10^7}

$$\sqrt{ 6371 \times { 10 }^{ 7 } }$$

Evaluate

$$1000\sqrt{63710}\approx 252408.399226333$$

Solution Steps

Calculate 10 to the power of 7 and get 10000000.

$$\sqrt{6371\times 10000000}$$

Multiply 6371 and 10000000 to get 63710000000.

$$\sqrt{63710000000}$$

Factor 63710000000=1000^{2}\times 63710. Rewrite the square root of the product \sqrt{1000^{2}\times 63710} as the product of square roots \sqrt{1000^{2}}\sqrt{63710}. Take the square root of 1000^{2}.

$$1000\sqrt{63710}$$