You can
put this solution on YOUR website!Is(√x)^2=x an identity (true for all nonnegative values of x)?
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Examples don't prove anything but they help to understand.
If x is nonnegative like 8,
[sqrt(8)]^2= [2sqrt2]^2=8
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If x is negative like -8
[sqrt(-8)]^2 = [2isqrt2]^2=[(i^2)8]=-8
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What do you think?
Cheers,
Stan H.