a + b ) ( √ a + √ b ) ( √ a − √ b ) =
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√ab = √a * √b holds ONLY IF at least one among a and b is non-negative.
Now that you know, let me present a popular mathematical fallacy based on this.
1 = √1 = √[(-1) * (-1)] = i*i = i^2 = -1.
Could you make out where it went wrong?
Cheers!
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