Question

What is the conjugate of x-square root of 2

Answer 1

The conjugate of a binomial, is pretty much just the same thing, but with a different sign in between, so,

pelican + canary      conjugate => pelican - canary

a + b         conjugate => a - b

-a - b         conjugate => -a + b

and  so on, therefore

x - √2        conjugate => x + √2

Answer 2

Answer:

$(x+\sqrt{2} )(x-\sqrt{2} )$

Step-by-step explanation:

The conjugate is when you change the sign that is between two terms, like this:

$(3x+1)(3x-1)$

It is only used in expressions with two terms (called "binomials")