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Considering that the square root of 9 is of 81 and of 10 is of 100, we have that the expression that has a value between 9 and 10 is given by:
B.) √89
E.)
F.)
We suppose numbers n and m, with square roots given, respectively, by n² and m².
Then, the square roots of all numbers between n² and m² have values between n and m.
In this problem, the square roots are given by:
- 9² = 81.
- 10² = 100.
Hence, the square root of all values between 82 and 99 are values between 9 and 10, thus option B is correct.
As for the cubic root, we apply the same logic and have that:
- 9³ = 729.
- 10³ = 1000.
Hence options E and F are also correct, as the values between 730 and 999 have cubic roots between 9 and 10.
More can be learned about the value of a expression at brainly.com/question/25537936
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