jessbragoli
jessbragoli jessbragoli
  • 18-06-2021
  • Mathematics
contestada

Show that √2 is an irrational numbe.​

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Hawwa
Hawwa Hawwa
  • 18-06-2021

Answer:

[tex] \sqrt{2} =1.41421356237...[/tex]

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Sumikshya1104
Sumikshya1104 Sumikshya1104
  • 22-06-2021

Answer:

The proof that √2 is indeed irrational is usually found in college level math texts, but it isn't that difficult to follow. It does not rely on computers at all, but instead is a "proof by contradiction": if √2 WERE a rational number, we'd get a contradiction.

...

A proof that the square root of 2 is irrational.

2 = (2k)2/b2

b2 = 2k2

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