Question

Write conjugate pair of 3√5 +√7​

Answer 1

conjugate pair of √7-3√5

Answer 2

Answer:

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Step-by-step explanation:

Answer

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 (5+3). 

When we multiply this with the difference of the same two terms, that is, with (5−3), the product is:

(5+3)(5−3)=(5)2−(3)2=25−3=22(∵a2−b2=(a+b)(a−b))

Since 22 is a rational number.

 

Hence, (5−3) is the conjugate of (5+3).