Question

prove that -1/√11 is a irrational no. please help me in this question​

Answer 1

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let us assume that-1/√11is rational number

-1/√11=p/q

√11=-1p/q

irrational=`rational

Answer 2

Let assuming - 1/root 11 is rational

Therefore - 1/root11 =p/q, p & q are coprime

-1 =p/q *root 11

Now here in RHS - 1 , it is purely rational

& in LHS root 11 p/q it is purely irrational

Hence LHS is not equal to RHS

Hence our assumption is wrong

Therefore - 1/root 11 is irrational