Question

examine if the following are rational or irrational
1. root 3 + root 5
2. (root 2 + 2)^2
please answer the question in details and please explain

Answer 1

hey friend,here's your answer:

1. root 3 + root 5 = 1.73.....+2.23.......
We know that these two irrational numbers add to become another irrational number.So it is irrational.
2.(root 2+2) square = (root 2) square + 4root2+ 4=6+4 root 2.
this is also irrational as rational + irrational is irrational.

hope it helps
#aditya