Math, asked by nishantpareek, 1 year ago

how to prove √6 irrational​

Answers

Answered by rekha12323
0

Answer:

  • let suppose √ 6 is rational no.
  • then it write in p/q form .
  • (co-prime and q not equal to 0)
  • squaring on both side.
  • 1/6=p2/q2
  • p2=6q2___1eq
  • 6is a factor of p2
  • hence 2is a factor of p
  • let p=6x
  • substituting in 1
  • [6x]2=6q2
  • 6 36x=6q2
  • q2=2x
  • 2is a factor of q
  • it is not a rational no.
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