Show that 5 - 2 root 3 is an irrational number

1.	Show that 5 - 2 root 3 is an irrational number
Answer» here why this contradict that root 3 is an irrational no. firstly we have taken 5-2root 3 as rational so why plz tell Suppose 5-2√3 is a rational no.5-2√3= a/b (for any co prime a and b ,b not equal to 0) -2√3=a/b-5 is also rational-2√3=(a-5b)/b is also rational√3 =(a- 5b)/-2b is also rationalThis contradicts the fact that √3 is an irrational no. So 5-2√3 is an irrational no. Yes Yes

Discussion