Show that 5+square root of 6 is irrational

Asked by  | 22nd 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
Team Topperlearning

Answered by  | 23rd Jul, 2010, 09:36: AM

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