Due to math content, this page has special requirements (including JavaScript) for full functionality.
With your current viewing scenario, it is not appearing and behaving as it is supposed to!
Please visit Dr. Carol J.V. Fisher's Homepage (link at left) to learn what this site has to offer.
Watch the "Welcome" video to get started—hope to see you back here soon!
Dr. Carol J.V. Fisher's Homepage
IDENTIFYING PERFECT SQUARES
Jump right to the exercises!
Take the whole numbers and square them:
02 = 0
12 = 1
22 = 4
32 = 9
and so on.
The resulting numbers 0, 1, 4, 9, 16, 25, 36, ... are called perfect squares.
DEFINITION: perfect square
A number p is called a perfect square if and only if
there exists a whole number n for which p = n2 . |
In this exercise, you will decide if a given number is a perfect square.
EXAMPLES:
Is 9 a perfect square? Answer: yes (Note: 9 = 32)
Is 7 a perfect square? Answer: no
Is 172 a perfect square? Answer: yes
Is 74 a perfect square? Answer: yes (Note: 74
= (72)2 )
Is (-6)2 a perfect square? Answer: yes (Note: (-6)2 = 62 )
Is -62 a perfect square? Answer: no
(Note: -62 = (-1)(62) = (-1)(36) = -36; a perfect square can't be negative)
Be careful! -62 and (-6)2 are different numbers!
Is (-7)12 a perfect square? Answer: yes (Note: (-7)12
= 712 = (76)2 )
Is -4 a perfect square? Answer: no (Note: a perfect square can't be negative)
Type yes or no, all lowercase, for your answers.