prove that 2+√6 is an irrational number
Share
prove that 2+√6 is an irrational number
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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:
so message me........