9,000 is a perfect square number. Is this statement is true or false
Answers
Answer:
False
Step-by-step explanation:
Step 1:
What is the last number of 9,000? It is this number: 9000. The answer is 0. Is 0 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: NO, 0 is not in the list of numbers that are never perfect squares. Let's continue to the next step.
Step 2:
We now need to obtain the digital root of the number. Here's how you do it:
Split the number up and add each digit together:
9 + 0 + 0 + 0 = 9
What is the digital root of number 9,000?
Answer: 9
Step 3:
So now we know the digital root of 9,000 is 9. Is 9 in the list of digital roots that are always a square root (1, 4, 7 or 9)?
Answer: YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 9,000 could be a perfect square!
Factoring
OK, so now we know that 9,000 could be a perfect square. We have to find the factors of the number to be sure.
Here are all of the factors of 9,000:
1 x 9,0002 x 4,5003 x 3,0004 x 2,2505 x 1,8006 x 1,5008 x 1,1259 x 1,00010 x 90012 x 75015 x 60018 x 50020 x 45024 x 37525 x 36030 x 30036 x 25040 x 22545 x 20050 x 18060 x 15072 x 12575 x 12090 x 100
Whoa! That is a lot of factors!
We're looking for a factor combination with equal numbers for X and Y (like 3x3) above. Notice there isn't a equal factor combination, that when multiplied together, produce the number 9,000. That means 9,000 is NOT a perfect square.
Answer.
False.
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