Question

prove that √3 is an irrational number. Show that 2/5√3 is irrational​

Answer 1

Answer:

Step-by-step explanation:

Let 2 + 5√3 = a, where a is a rational number.

√3 = (a – 2)/5

Which is a contradiction as LHS is irrational and RHS is rational.

∴ 2 + 5√3 can not be rational.

Hence, 2 + 5√3 + is irrational.