Question

prove that 2+√6 is an irrational number​

Answer 1

Answer:

Let us assume 6+

2

​

is rational. Then it can be expressed in the form

q

p

​

, where p and q are co-prime

Then, 6+

2

​

=

q

p

​

2

​

=

q

p

​

−6

2

​

=

q

p−6q

​

-----(p,q,−6 are integers)

q

p−6q

​

is rational

But,

2

​

is irrational.

This contradiction is due to our incorrect assumption that 6+

2

​

is rational

Hence, 6+

2

​

is irrational

Step-by-step explanation:

Answer 2

Answer:

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