Prove that 4+5√3 is irrational, given that √3 is irrational.

1.	Prove that 4+5√3 is irrational, given that √3 is irrational.
Answer» let 4+ 5√3 be a rational number.4 + 5√3= a/b where a and b are co primes\xa05√3=a/b-4\xa05√3=a-4b/ba-4b/b- 5=√3But this contradiction is wrong therefore 4+5√3 is a irrational number.

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