Question

What is the conjugate? √x + 2√b

Answer 1

The correct answer is:  " √x  −  2√b " .
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       The "conjugate" of  " √x  + 2√b "  is:  " √x  −  2√b " .
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Explanation:
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      In an expression with 2 (TWO) terms;  that is, in a "binomial expression", 
the "conjugate" of that expression refers to that very expression — with the "sign" in between those two terms—"reverse" (e.g. "minus" becomes "plus" ; or, "plus" becomes "minus" .) .
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      →  So:  We are given:  " √x + 2√b " .

      →  Note that this is a "binomial expression" ;

      →  that is, there are 2 (TWO) terms:  " √x " ; and:  " 2√b " .
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To find the "conjugate" of the given binomial expression:

     →  " √x + 2√b "  ; 

     →  We simply change the "+" {plus sign} to a "−"  {minus sign} ;  and rewrite:
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     →  " √x − 2√b "  ; 

     →  which is the "conjugate" ; and is the correct answer:
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→  " √x − 2√b " ;   is the "conjugate" of the expression:  " √x + 2√b " . 
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     →  {that is:  " √x − 2√b " ;  is the conjugate.}.
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