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Question

Write the conjugates of binomial surd given as a+b

Solution
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We know that the when sum of two terms and the difference of the same two terms are multiplied, the product is always a rational number.

Let us apply this concept to a binomial surd (a+b).

When we multiply this with the difference of the same two terms, that is, with (ab), the product is:

(a+b)(ab)=(a)2(b)2=ab(a2b2=(a+b)(ab))

Since ab is a rational number.

Hence, (ab) is the conjugate of (a+b).

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