Question

prove that 1/√11 is an irrational number​

Answer 1

Step-by-step explanation:

Assume to reach our contradiction that 1/√11 is rational.

So that 1/√11 can be written as p/q, where p, q are coprime integers and q ≠ 0.

Thus,

\displaystyle \frac{p}{q}=\frac{1}{\sqrt{11}}

q

p

=

11

1

Taking the reciprocals...

\begin{gathered}\displaystyle \frac{1}{\frac{p}{q}}=\frac{1}{\frac{1}{\sqrt{11}}} \\ \\ \\ \\ \Rightarrow \ \frac{q}{p}=\sqrt{11}\end{gathered}

q

p

1

=

11

1

1

⇒

p

q

=

11

Here it creates a contradiction that, the LHS p/q is rational while the RHS √11 is irrational. Here it seems that √11 can be written in fractional form.

Hence our earlier assumption is contradicted and reached the conclusion that √11 is irrational.

Answer 2

Answer:

maine bola tha kya mera naan nahi lene

mujhe yaad nahi hai

Step-by-step explanation:

aab mera naam lesaktea ho aap

waise yaad hai mera naaam apko