1.

Given that √2 is irrational,Prove that(5+3√2) is an irrational plzzz do it step by step ..​

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Answer:

to prove that (5+3√2) is an IRRATIONAL number

let us assum that (5+3√2) is a RATIONAL number

  1. 5+3√2= a/b
  2. 3√2=a/b-5
  3. 3√2=a-5b/b
  4. √2=a-5b/3b
  • here a,b are any Integers a-5b/3b are rational number but√2 is an irrational
  • so were assumption is 5+3√2 is a rational number is wrong
  • HENCE 5+3√2 is an irrational number



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