Question

if under root AB is an irrational number prove that under root A+ under root B is irrational????
Plz answer fast

Answer 1

√AB is an irrational number. given
to prove .... √A+√B is irrational
proof.... absolutely if the under root number have a perfect square or perfect cube then the number will be rational nothing otherwise is irrational
√AB is not a perfect square or cube so this is not a rational
so same if we √A+√b this is not a perfect square or perfect cube then it is not a rational
so this is a irrational