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The sqrt of 200 is 14.14213562...

But a 'reasonable' answer would be 14.1

This is because the question gives three digits of precision -- called significant figures -- so it is reasonable to give three digits in the answer.

As another example, a reasonable decimal answer for the sqrt of 200.00 would be 14.142 (five figures in the question, five in the answer).

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Q: What is a reasonable decimal answer for the sqrt of 200?
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What is the radical expression of the square root of 200?

sqrt(200) = sqrt(100*2) = sqrt(100)*sqrt(2) = 10*sqrt(2)


What is the simplest radical from of the square root of 200?

sqrt(200) = sqrt(100 x 2) = sqrt(100) x sqrt(2) = 10 sqrt(2)


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First, simplify the number: sqrt(200) = sqrt(2 x 100) = 10 x sqrt(2) Because sqrt(2) is an irrational number, in this case, sqrt(200) is irrational.


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