Question

Prove that root 5 minus 3 root 2 is an irrational number
Please solve it ASAP

Answer 1

Step-by-step explanation:

let 5-3root2 be a rational number

5-3root2=p/q

3root2=p/q+5

3root2=p+5q/q

root2=p+5q/3q

p+5q/3q is a rational number

so, root2 is a rational number

but this a contradiction

hence5-3root2 is a irrational number