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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