Question

What is the difference between multiplying and adding radical expressions

Answer 1

When adding them you treat the radical part as if it were a variable
So we have:-

2 sqrt3 + sqrt3 = 3 sqrt3

compare:-

2x + x = 3x

When multiplying you perform a multiplcation
of the number within the radical

Example sqrt 2 * sqrt 3 = sqrt(2+3) = sqrt 6