PIU VWUJ54535-15 is irrational5.showthatchonthat

1.	PIU VWUJ54535-15 is irrational5.showthatchonthat
Answer» To prove;5-4√3 is irrational Let 5-4√3 be a rational number. Thus5-4√3= a/b where a and b are co primes-4√3=(a/b)-5-4√3=(a-5b)/b(a-5b)/(-4b)=√3Here ,(a-5b)/(-4b) is rational but √3 is Irrational But our contradiction is wrong thus 5-4√3 is irrational explain in detail pls

Answer»

To prove;5-4√3 is irrational

Let 5-4√3 be a rational number.

Thus5-4√3= a/b where a and b are co primes-4√3=(a/b)-5-4√3=(a-5b)/b(a-5b)/(-4b)=√3Here ,(a-5b)/(-4b) is rational but √3 is Irrational

But our contradiction is wrong thus 5-4√3 is irrational

explain in detail pls

Discussion