Question

prove that 3-2√5 is irrational​

Answer 1

Answer:

as we know that difference of rational and irrational no. is always irrational

suppose 3-2√5 is a rational no. it can be expressed in p/q form

3-2√5=p/q

2√5=p/q+3

√5=p+3q/2q

p,3,2,q are integers

√5=rational

rational is not equal to irrational

our supposition was wrong

therefore 3-2√5 is irrational