Question

Show by example that sum differences, product and quotient of two irrational number need to be an irrational number

Answer 1

Answer:

sum of two irrational number

1. root 2-root 2=root2+(-2)=0 rational number
2. differences of 2 irrational number root2 root2 =root2-root2=0(irrational number)
3. ex=root2+root3/root2root3
4. multiply =roit18 root2=root36=6 irrational number
5. division=quotient=
6. root 12 root3
7. root12 riit4=2 rational number