Question

Given that √3 is irrational,that 7-2√3 is an irrational number

Answer 1

Prove that 7-2 ✓3 is an irrational number

Let 7-2√3 as rational number. Then,7-2√3=a/b,where a and b are coprime. Here,a/-2b -7 is a rational number . We know that √3 is an irrational number.