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Sagot :
Answer:
Part A: 1 & 225, A number times itself equals a perfect Square.
Part B: No, 289 is NOT perfect square.
Step-by-step explanation:
Part A: 1*1=1, 15*15=225 (Perfect Squares)
Part B: Utilizing the Factor Rainbow one can see that the same number does not exist on both sides of the rainbow simultaneously.
Answer and Eplainations:
i) 1 is a perfect square because 1 x 1 = 1
ii) 24 is not a perfect square because it is a natural number. Natural numbers cannot be squared.
iii) 225 is a perfect square 15 x 15 = 225
iv) 500 is not a perfect square it is an irrational number
289 is a perfect square because 17 x 17 = 289
the square root of 289 is 17 therefore it is a perfect square
A Tip that will help you with other problems like this any nunmber ending in 2, 3, 7, or 8 can never be a perfect square.
Hope this helps! Good luck!
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