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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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113 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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