Question

prove that √3+√2 is an irrational number?​

Answer 1

Answer:

sqrt3 +sqrt2 is irrational number

Answer 2

Answer:

I hope this answer may help you

Step-by-step explanation:

Assume √3+√2 as rational

p,q are coprimes

(√3+√2)2 =(p/q)2

(√3)2+(√2)2+2×√3×√2=p2/q2

3+2+2√6=p2/q2

5+2√6=p2/q2

2√6=p2/q2-5

2√6=p2-5q2/q2

√6=p2-5q2/2q2

since p, q are integers RHS is rational

But we know that √6 is irrational

This contradiction has occur because our assumption is wrong

Hence √3+√2 is irrational