Which of the following is equivalent to ?

Answer and explanation

Correct answer: B.

  1. Step 1: Multiply numerator and denominator by the conjugate .
  2. Step 2: The denominator becomes .
  3. Step 3: The numerator is , so the result is .
Answer
.
Why not the others: keeps the wrong sign; forgets to divide by ; the option uses as the denominator.

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