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# Prove that the following proof of 1=2 is wrong

To prove: 1=2

Proof: is give above

Task: Find the mistake and support it with a logical proof. If you are citing a law or a theorem the prove that as well ( only if it is major one)

Note by Aayush Mani
3 years, 2 months ago

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$$\sqrt{a^{2}} = \pm a$$

$$\sqrt{\frac{9}{4}} = \pm \frac{3}{2}$$ and similarly the other one .

we will consider only those values which satisfy the equality @Aayush Mani

- 3 years, 2 months ago

$$\sqrt{a^{2}} = |a|$$

- 3 years, 2 months ago

The first equation does not have a real solution.

- 3 years, 2 months ago

I have one doubt, how did you get the 1st equation?

- 3 years, 2 months ago

Yeah seriously! It is wrong for x =1 too.

- 3 years, 2 months ago