Cube Roots

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What is the cube root of z?

(1) The 5th root of z is 243.

(2) The 25th root of z is 3.

Review: Cube Roots




Explanation

The question asks us for the cube root of z, which is or . Let's evaluate the data statements separately. Statement (1) tells us that



We can take both sides of the equation to the power in order to try to massage this equation to give us what we are looking for:





So, we've been given exactly what we are looking for: the value of . It's equal to . Therefore, Statement (1) is sufficient. Statement (2) is sufficient according to identical logic.

The correct answer is (D).


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