Question

Classify the following number as rational or irrational 5 - √3

Answer 1

Step-by-step explanation:

let us assume that 5-√3 is a rational number

5-√3=p/q

=>5-p/q=√3

=>5q-p/q-√3

for the positive integers p and q 5q-p/q is a rational number but √3 is an irrational number

this is a contradiction

this contradiction arises due to our assumption

this is an irrational number