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If you take the square root of any number (or expression) and then square the result again, you will usually obtain the same number (or expression) again. Or more precisely, its absolute value. That is, sometimes you can make the simplifying assumption that you get the same expression, but to be on the safe side, you must consider the possibility that the original expression is negative, in which case the square of the square root is the absolute value of the original expression.
I think you've left out something. Is one of the "x" functions squared?
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[square root (78)] squared = 78. There is not a surd from for an integer.
Do you mean: What is the square root of (8 squared)? If so, there are two answers: 8 and -8. Or do you mean: What is the (square root of 8) squared? If so, there is only one answer: 8.
it is 18 because when you put all the numbers back into the square root it becomes the square root of 18 and the square root of 18 squared would be 18