exam Maths Puzzle Numerical Ability

How do you identify the smallest subset of the real numbers that contains any given number? How would you apply that for the number e? We don't have a textbook, so I can't refer

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I need to factor completly

a^2-4a+4
and
2x^2y-32y
I have this expression

square root of -144
which would be 12 12
break it out further it would be -3*4 and -3*4
so than it would be -4 square root 3?

These kind of problems play with your head. Is this correct?