Question

Show that 5-2√3 is an irrational number.

Answer 1

Answer:

Let 5-2 root 3 be a rational no.

so 5-2 root 3 = p\q

2root3 =p\q-5

root3 = p-5q\2q

here p-5q\2q is a rational no.

so root3 is a rational no.

but root3 is a irrational no.

so this contradicts our supposition

so 5-2root3 is a irrational no.