Question

Write the conjugates of the binomial surds

Hard
Updated on : 2022-09-05
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 

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



Since is a rational number.
 
Hence,  is the conjugate of .

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