Question
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Answer
The cube root of (-1 minus 7) is -2.
Solution
To solve the expression, first simplify inside the cube root:
(-1) - 7 = -8
Then find the cube root of -8. Since the cube of -2 is -8 (because (-2)³ = -8), it follows that:
∛(-8) = -2
Therefore, the final answer is -2.
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Simplify this solution Beyond the Answer
To solve \( \sqrt[3]{(-1)-(7)} \), first simplify the expression inside the cube root. We calculate \((-1) - 7\), which is \(-8\). Now, we take the cube root of \(-8\), which is \(-2\) since \((-2) \times (-2) \times (-2) = -8\). So, the final result is \(-2\). This problem is a great example of working with cube roots and negative numbers—an essential concept often seen in algebra. Don't let the negative sign intimidate you; just remember that, unlike square roots, cube roots can take on negative values.
