Question

prove that root 5 minus root 3 is not a rational number

Answer 1

Hello !!✨✨✨


Let us assume that 5 - root 3 is rational.

Then it can be written in the form5 - root3 = p/qor 5 - p/q = root3

It implies root3 is a rational number

[Since5 - p/q are rationals]But this contradicts to the fact that root 3 is irrational.

Hence our supposition was wrong.

Therefore 5 - root 3 is irrational.

Hope i helped u ✨