Question

5. a) Which of these numbers are perfect

squares? Why?

i) 1 ii) 24 iii) 225 iv) 500

b) Use the factor rainbow to determine if

289 is a perfect square. Explain your

reasoning.
PLZ HELP

Answer 1

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 2

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!