Question

Prove that 15 + 17 √ 3 is irrational

Answer 1

Answer:

Let 15 + 17√3 is a rational number.

p/q = 15 + 17√3 q is not equal to zero

p and q are integers.

p/q = 15 + 17√3

=> p - 15/q = 17√3

Rational number = Irrational number

This is contridication.

Hence , 15 + 17√3 is an irrational number.