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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No, pi is not used to solve a square root problem.
What square root property is essential to solve any radical equation involving square root?
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The square root of 1225 is 35.
3.27106631