"squaring" any number means to multiply it times itself. Using your examples:
5 x 5 = 25 (You must have already memorized what 5 x 5 equals).
4 x 4 = 16 (Also must have already been memorized)
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The prime numbers with square roots between 4 and 5 are 5 and 7.
25= 5*5 = (3*3)+(4*4)
They are 4 and 5
9, the square of 3, and 4, the square of 2
There are 5 square numbers under 30: 1, 4, 9, 16, and 25.