CBSE Class 10 Answered
Show that 5+square root of 6 is irrational
Asked by | 22 Jul, 2010, 08:25: PM
Expert Answer
Dear student
Following is the solution to your problem:
Let us assume, to the contrary, that is a rational number .
So, we can find co primes a and b (b non zero) such that
now a-5b and b are integers and b i snon zero so a-5b/b is rational.
Since Rhs is rational implies is rational
Which contradicts the fact that is irrational.
So our assumption is wrong and 5+ is irrational.
Hope it clarifies the doubt
Regards
Team Topperlearning
Answered by | 23 Jul, 2010, 09:36: AM
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