Question

Write a whole number, n, that is larger than 5. To keep things interesting, try to pick an n different from what your classmates have already chosen. Give an example of a number whose nth root (for your n above) is a whole number. Explain how you approached finding your example.

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Answer to a math question Write a whole number, n, that is larger than 5. To keep things interesting, try to pick an n different from what your classmates have already chosen. Give an example of a number whose nth root (for your n above) is a whole number. Explain how you approached finding your example.

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Dexter
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101 Answers
1. Choose a number \( n \)

n = 6

2. To find a whole number whose 6th root is also a whole number, let’s pick a base whole number \( m \).

3. Choose \( m = 2 \).

4. Calculate \( m^n \).

2^6 = 64

5. Therefore, 64 is a number whose 6th root is 2, a whole number.

Answer: 64

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