Question

prove that 1+2root3 is irrational

Answer 1

•Let us assume that 1+2√3 is rational.

•1+2√3=p/q.(where p and q are rational and q is not equal to zero).

•2√3=p/q-1.

•√3=p-q/2q.

•Here √3 is irrational.

•LHS is not equal to RHS.

•Hence 1+2√3 is irrational.

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