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The conjugate of an irrational number is a non-zero number such that the product of the two numbers is rational.

In high school mathematics, you are usually required to know only the conjugates of surds of the form a + b*sqrt(x).

The conjugate is a - b*sqrt(x)

[-a + b*sqrt(x) is also a conjugate - all you need to do is to switch the sign of one of the two terms.]

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