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sqrt(35) = ± 5.9161

It is usually simple with a scientific calculator or computer but not so otherwise.

If you have access to log and antilog tables, you can look up log(35) which is 1.5441

Multiply that by 0.5 (square root is the same as power 0.5) to give 0.7720

And then look up the antilog of that to give 5.9161.

[Antilog 0.7720 = 100.7720]

You could take logs to any base: 10, e or another number, but 10 and e are the most widely used.

Finally, there is a method that resembles long division but it is too complicated for me to explain here.

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Q: How can you solve root 35?
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