Question

Which one is the conjugate pair of 2√5+√3? Choose the correct alternative answer for the question given below.
(A) -2√5+√3
(B) -2√5-√3
(C) 2√3-√5
(D) √3+2√5

Answer 1

Solution :

The conjugate pair of

( 2√5 + √3 ) is ( 2√5 - √3 ).

Option ( C ) is correct.

( 2√5 + √3 )( 2√5 - √3 )

= (2√5)² - (√3)²

= 20 - 3

= 17 ( rational number )

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