Question

prove that 1/root 11 is irrational
plzz answer this fast​

Answer 1

Answer:

hey mate

Step-by-step explanation:

so, 1/√11 = a/b

√11 = b/a

here , b/a is a rational no..

so , √11 should be a rational no..

a , contradict has arisen. that the √11 is an irrational no.

our assumption is wrong

so, 1/√11 is an irrational no.

hope it help u

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