Find the cube root. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. \( \sqrt[3]{-1}=\square \) B. The root is not a real number.
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The Deep Dive
The cube root of \(-1\) can be calculated, and it's actually a real number! When we take the cube root, we are looking for a number that, when multiplied by itself three times, gives us \(-1\). In this case, that number is \(-1\) because \((-1) \times (-1) \times (-1) = -1\). So, the correct answer is: A. \( \sqrt[3]{-1}=-1 \) Now, for some extra fun facts, let's jump into the world of cube roots: Cubes can be tricky, but they pop up everywhere! From calculating volumes to solving equations, understanding how to handle these roots can give you a major advantage in math. Also, if you’re ever puzzled about why negative numbers have real cube roots, think about it this way: while squaring a negative number gives you a positive result, cubing retains the negativity, allowing for those charming little cube roots we love!
