1.

Show that 3+√2 is irrational number.​

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ANSWER:

let is assume that 3+√2 is rational

let,3+√2=a/b(where a and b are co primes thus they have a COMMON HCF=1)

ATQ,√2=a/b-3

we KNOW that √2 is irrational

so, a/b-3 will also be irrational(because lf one side is irrational then another will also be irrational)

so, our supposition is wrong

3+√2 is irrational


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