prove that√3/√7 is irrational
Answers
Answered by
0
Answer:
hope it helps
Step-by-step explanation:
We have to prove that 3+7 is irrational.
Let us assume the opposite, that 3+7 is rational.
Hence 3+7 can be written in the form ba where a and b are co-prime and b=0
Hence 3+7=ba
⇒7=ba−3
⇒7=ba−3b
where 7 is irrational and ba−3b is rational.
Since,rational= irrational.
This is a contradiction.
∴ Our assumption is incorrect.
Hence 3+7 is irrational.
Hence proved.
Similar questions