Question

How many square numbers that are greater than 1, smaller than 3,000, and multiples of 6 are there?

Answer 1

Find the square root of 3,000--use all those less than it, and solve from there

Answer 2

2², 3², 4², ..., 54²

How can I know which of them is multiples of 6?

Answer 3

division or skip counting

Answer 4

make a list of the multiples of 6 and check them against your squares

Answer 5

Isn't there any shortcut here? I ain't going to list ever number that is multiples of 6 from 6 to 2916 (54²).

Answer 6

you can exclude any number that is not even

Answer 7

Still too long...

Answer 8

number is even and divisible by 3.

Answer 9

so are the square roots