Question

prove that. root 3+2divided by root 3is irrational​

Answer 1

Answer:

the answer is irrational

Step-by-step explanation:

assume that 3+2/√3 is rational

that means  3+2/√3 =p/q where p,q are co primes

2/√3=(p/q)-3

2/√3=(p-3q)/q

by reciprocal

√3/2=q/(p-3q)

√3=2q/(p-3q)

wkt LHS is irrational and RHS is rational

rational≠irrational

therefore our assumption is wrong 3+2/√3 is irrational

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