What would you guess is square root of 65? Explain your answer?

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answers:
JSG say: What Bill said.
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SumDude say: 8 and a tiny bit because 8*8=64
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drrckyee say: The square root of 64 is 8
The square root of 81 is 9

So, the square root of 65 is 8.06226.
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Steve A say: √64 = 8
√81 = 9
81-64 = 17
1/17 = .0588
Estimate √(65) = 8.0588

Using derivatives, estimate it as 8 1/16
Est = 8.0625

We know it is between those two.
(x+y)^2 = x^2 +2xy + y^2
(8 + 1/16)^2 = 64 + 1 + 1/256
So 8 1/16 is a little large.
8 1/17 is a little small.
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az_lender say: 8^2 = 64 and 8.1^2 = 65.61, so I'd be guessing around 8.06.
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Iggy Rocko say: 64 < 65 < 81
8 < √65 < 9
So I'd guess √65 ~= 8.1
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billrussell42 say: The square root of 64 is 8
The square root of 81 is 9

if you interpolate, 81-64 = 17
so we want 1/17 (=0.06) between 8 and 9
so the answer is 8.06
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Mike G say: √64 = 8
So about 8.1
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JonZ say: Answer:
Square root of 65
cannot be simplified.

Explanation:
The prime factorisation of
65
is:

65 = 5 ⋅13


Since this has no square factors
√
65
cannot be simplified.
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kyla say: I would say 8.06 or 8.1

64 = 8
65 = either 8.06 or 8.1
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say: The square root of 64 is 8
The square root of 81 is 9

So the square root of 65 is between 8 and 9, but much nearer to 8. So I'd guess around 8.1
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Mercedes Bianchi say: Well, Siri told me it is 8.06226
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