Can you prove 0 = 2 ?

Can you find this amazing question?

Proof:

Here is the “proof” in text.

2 = 1 + 1
2 = 1 + √(1)
2 = 1 + √(-1 * -1)
2 = 1 + √(-1)√(-1)
2 = 1 + i(i)
2 = 1 + i2
2 = 1 + (-1)
2 = 0

This is not correct proof.

Or keep reading for a text explanation.

False Proof 2 = 0

2 = 1 + 1
2 = 1 + √(1)
2 = 1 + √(-1 * -1)
2 = 1 + √(-1)√(-1)
2 = 1 + i(i)
2 = 1 + i2
2 = 1 + (-1)
2 = 0

The mistake is between lines 3 and 4.

√(-1 * -1) ≠ √(-1)√(-1)

This is a misapplication of the product rule for square roots. The product rule is guaranteed to work only when both values are positive.

If x, y ≥ 0, then
√(xy) = √(x)√(y)

When x = y = -1, the product rule may not apply, and as demonstrated, it is not a valid step because it leads to the conclusion that 2 = 0.

Thank you for reading...

By:vikash rahii