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| Math Central | Quandaries & Queries |
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Question from Sandra, a parent: What whole number equals 25 when it is squared and 125 when it is cubed? |
Hi Sandra,
25 is a small enough number that you can do this by trial and error. You want a number which when squared is 25.
- 2 squared is $2 \times 2 = 4$ so that's too small.
- 3 squared is $3 \times 3 = 9$ which is still too small.
What about 4, 5, 6, ...?
When you find a number which has 25 as its square, what is its cube?
Penny
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