What is the value of the following expression? \( -\sqrt[3]{-216} \) -72 72 -6 6
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Mind Expander
To solve the expression \( -\sqrt[3]{-216} \), we first need to find the cube root of \(-216\). The cube root of \(-216\) is \(-6\) because \((-6) \times (-6) \times (-6) = -216\). Therefore, the expression simplifies to \( -(-6) \), which equals \( 6 \). The correct answer is 6! Now that we’ve solved the problem, let’s take a fun detour: Did you know that the cube root is all about finding a number that can multiply itself three times to get to a certain value? Perfect for tackling engineering challenges and understanding volumes! Also, the concept of cube roots has a long history dating back to ancient civilizations, where mathematicians were already exploring ways to express and manipulate numbers. The Greeks and Babylonians used geometrical approaches to understand these roots long before the formal notation we use today was developed. How cool is that?