Choose a counterexample that proves that the conjecture below is false. "Other than the number 1, there are no numbers less than 100 that are both perfect squares and perfect cubes." A) 36 B) 64 C) 16 D) 8

Question

Mathematics

Sebastian Glover

19 May, 20:14

Choose a counterexample that proves that the conjecture below is false. "Other than the number 1, there are no numbers less than 100 that are both perfect squares and perfect cubes." A) 36 B) 64 C) 16 D) 8

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Answers (2)

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Aydin · Answer 1

64 is counterexample that proves that the conjecture below is false. "Other than the number 1, there are no numbers less than 100 that are both perfectsquares and perfect cubes.

8*8 = 64

4*4*4 = 64

Rudy Jacobs · Answer 2

64 is a perfect square (8 * 8)

64 is a perfect cube (4 * 4 * 4)