If a and c are positive numbers, which of the following is equivalent to ?

Question

Accepted Answer

Choice C is correct. Using the property that for positive numbers x and y , with x = ( a + c ) 3 and y = a + c , it follows that . By rewriting ( a + c ) 4 as (( a + c ) 2 ) 2 , it is possible to simplify the square root expression as follows: . Choice A is incorrect and may be the result of . Choice B is incorrect and may be the result of incorrectly rewriting ( a + c ) 2 as a 2 + c 2 . Choice D is incorrect and may be the result of incorrectly applying properties of exponents.

Question if-a-a