Question

prove that 7-2root3 is an irrational number

Answer 1

7-2root3 is a rational no,let us take
take 7-2√3= a/b where a nd b r co-primes
5√3=a/b
√3=a/5b
here √3 is irrational no
our contrdution due to assumption is wrong
7-2√3 is irrational no.