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Question

What is the square root of 45?

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Solution

Notice how 45 has a perfect square factor.
45
=95
±35
Now if you wanted the decimal answer, you could estimate it.
4=2
9=3
You could say with reasonable accuracy that:
55494(32)+22.2
... making 45±32.2=±6.6.
In actually, 52.236 and 45±6.708, so it's not too bad of a guess.

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