Question

Choose a counter example that proves that the conjecture below is false.
Other than 1 there are no numbers less than 100 that are perfect squares and perfect cubes.
26
64
16
8

Answer 1

To prove that statement is false you need to find a number which is a perfect cube and square and is less than 100. So x^(1/2)= integer and x^(1/3)=integer. You're given 4 choices so just start ruling then ones out that don't fit the bill.