Which expression is equal to with a rational denominator?

Answer and explanation

Correct answer: A.

- '' adds the radicands in the denominator () instead of subtracting them ().
- '' multiplies by instead of the conjugate .
- '' forgets to divide by the denominator value .
  1. Step 1: Rationalize the denominator by multiplying the numerator and denominator by the conjugate .
  2. Step 2: Simplify the denominator using the difference of squares: .
  3. Step 3: Divide the numerator by : .
Answer
.

Practise more Exponents and radicals.

Free questions with an explanation for every one, and full timed ACT mock tests.