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Re: [square_root]463[/square_root] is between [#permalink]
12 Aug 2012, 18:27

JustinDragna wrote:

The way I solved it was by realizing

20^2= 400

so 21^2 = 20^2 +20 + 1*21 = 441

and

22^2 = 20^2 +20*2 + 2*21 = 440 + 40 + 42 > 500

so \sqrt{463} is >21 but <22

still wasn't that fast, but it made me think there might be some formula or something.

The other way is to find the square root of 463 first and then compare it, but even this method will require atleast 3-4 iterations and is pretty long.

Re: root{463} is between [#permalink]
06 Sep 2014, 15:59

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