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2+root 3 is a rational or irrational explain step wise​

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ANSWER:

to prove that 2+√3 is an IRRATIONAL number

  1. let US assume that 2+√3 is a RATIONAL number
  2. 2+√3= a/b
  3. √3=a/b-2
  4. √3= a-2b/b
  • here a,b are any INTEGERS a-2b are rational number
  • but√3is an irrational number
  • so our assumption is 2+√3 is rational number is wrong
  • hence 2+√3 is an irrational number


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