Question if-whi
If 
, which of the following expressions is equivalent to 
?
If , which of the following expressions is equivalent to ?
Medium-difficulty · SAT Math · Equivalent Expressions — Simplifying polynomials. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer explanation
Choice D is correct. Taking the square root of an exponential expression halves the exponent, so 
, which further reduces to 
. This can be rewritten as .
Choice A is incorrect and may result from neglecting the denominator of the given expression and from incorrectly calculating the square root of 16. Choice B is incorrect and may result from rewriting 
as 
rather than 
. Choice C is incorrect and may result from taking the square root of the variables in the numerator twice instead of once.
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