Question

What is the conjugate of
square root 8 - square root 9

Answer 1

`√(8)+√(9)`

Explanation:

By definition, the conjugate of a binomial is when you switch the operator (either + or -) in between the terms. For example, the conjugate of
`a+b√(c)=a-b√(c)` as we are just changing the addition symbol (+) to a subtraction symbol (-).

Therefore, the conjugate of
`√(8)-√(9)` occurs when we change the subtraction symbol to an additional symbol, hence the answer is
`\boxed{√(8)+√(9)}`