Question

prove that 3 - 5 root 3 is Irrational​

Answer 1

Step-by-step explanation:

let assume 3-5√3 is a rational number

3-5√3= p/q ( P/Q are co prime, q is not equal to 0 )

-5√3=p/q-3

-5√3= p-3q/q

√3= p-3q/5q

This shows (p-3q)/5q is a rational number. But we know that But √3 is an irrational number.

so it contradictsour assumption.

Our assumption of 3 -5√3is a rational number is incorrect.

is a rational number is incorrect.3 - 5√3 is an irrational number