Is an irrational number
Answers
Answered by
3
Hey mate!
Here is yr answer.....
Let us assume 2+√2 is rational..!
=> 2+√2 = a/b (a, b are any two integers)
=> √2 = a/b - 2
=> √2 = a-2b/b
For any two integers RHS (a-2b/b) is rational..!
But, LHS (√2) is irrational..
A rational and irrational are never equal..
So, our assumption is false...
Hence, 2+√2 is irrational...!
Hope it helps...!
Here is yr answer.....
Let us assume 2+√2 is rational..!
=> 2+√2 = a/b (a, b are any two integers)
=> √2 = a/b - 2
=> √2 = a-2b/b
For any two integers RHS (a-2b/b) is rational..!
But, LHS (√2) is irrational..
A rational and irrational are never equal..
So, our assumption is false...
Hence, 2+√2 is irrational...!
Hope it helps...!
jueng:
it was a really helpful answer
Answered by
1
pls maek me as brainliest
Attachments:
Similar questions