Question

prove that 5-√3 is a irrational number
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Answer 1

Answer:

Let us assum that 5-√3 is rational number so we can find two integers a, b. Where a and b are two co-primes number.

Step-by-step explanation:

=5-√3 =a/b

=√3 =5a/b

=a and b are integers (5-a/b) is rational

But √3 is irrational ( we know that and it is given)

So it arise contradiction due to our wrong assumption that 5-√3 is rational number. Hence 5-√3 is irrational number..

I hope this will help you...