How do you simplify $\sqrt{200}$ without using a calculator?

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Answer 1 · 2014-11-05T09:08:04

Since

$200=2cdot100=2cdot10^2$ ,

we have

$sqrt{200}=sqrt{2cdot10^2}=sqrt{2}cdot sqrt{10^2}=sqrt{2}cdot10=10sqrt{2}$ .

I hope that this was helpful.

How do you simplify \sqrt{200}\sqrt{200} without using a calculator?