Question

Write the conjugates of the binomial surds given as

Hard

Solution

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We know thatΒ 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 surdΒ .Β 

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



Since is a rational number.
Β 
Hence,Β Β is the conjugate ofΒ .

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