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------------------------------------------------ Which of the following are perfect squares? Check all that apply.

A. 62
B. 11
C. 15
D. 64
E. 49
F. 16

To determine which numbers from the list are perfect squares, let's first understand what a perfect square is. A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

Now, let's explore each option one by one:

A. 62:
To find out if 62 is a perfect square, we look for an integer whose square is 62. No integer multiplied by itself results in 62, so 62 is not a perfect square.

B. 11:
Similarly, if we check 11, we search for an integer whose square is exactly 11. There is no such integer, so 11 is not a perfect square.

C. 15:
For 15, we try to find an integer that squared equals 15. Again, there is no integer that satisfies this condition, so 15 is not a perfect square.

D. 64:
Checking 64, if you find the square root of 64, it is 8, and [tex]$8 \times 8 = 64$[/tex]. Therefore, 64 is a perfect square.

E. 49:
For 49, the square root is 7, and [tex]$7 \times 7 = 49$[/tex]. So, 49 is a perfect square.

F. 16:
Finally, for 16, the square root is 4, and [tex]$4 \times 4 = 16$[/tex]. Thus, 16 is a perfect square.

In conclusion, the numbers from the list that are perfect squares are:
- 64
- 49
- 16

These are the numbers that can be expressed as the square of an integer.