Graduate Management Admission Test (GMAT) Practice Test

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Which of the following is NOT equal to the square root of the sum of two numbers a and b?

  1. (√a) + (√b)

  2. √(a + b)

  3. √a + √b

  4. √(ab)

The correct answer is: √(a + b)

The question is asking for the option that does not equal the square root of the sum of two numbers, a and b. The correct answer, which states that the square root of the sum of a and b is not equal to option B, is accurate. The expression given in option B is √(a + b), which by definition is equal to the square root of the sum of the two numbers. Therefore, this choice represents exactly what the question is asking about and fits as a valid representation. In contrast, the other options can be analyzed as follows: the expression (√a) + (√b) or √a + √b implies that you're taking the square root of a and b individually and then adding those values together. This operation does not yield the same result as taking the square root of their sum, which is why these expressions are not equal to √(a + b). Lastly, √(ab) represents the square root of the product of the two numbers, which is distinctly different and also does not equate to √(a + b). Consequently, the correctness of option B lies in its direct representation of the sum, confirming it as equal to the square root of a plus b, thus marking it as

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