find whether the following number is a perfect square give reason for 67500
Answers
Answer:
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Step-by-step explanation:
no it's not a perfect square....
What is the last number of 67,500? It is this number: 67500. 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:
6 + 7 + 5 + 0 + 0 = 18
If the answer is more than one digit, you would add each digit of the answer together again:
1 + 8 = 9
What is the digital root of number 67,500?
Answer: 9
Step 3:
So now we know the digital root of 67,500 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 67,500 could be a perfect square!
Factoring
OK, so now we know that 67,500 could be a perfect square. We have to find the factors of the number to be sure.
Here are all of the factors of 67,500:
1 x 67,5002 x 33,7503 x 22,5004 x 16,8755 x 13,5006 x 11,2509 x 7,50010 x 6,75012 x 5,62515 x 4,50018 x 3,75020 x 3,37525 x 2,70027 x 2,50030 x 2,25036 x 1,87545 x 1,50050 x 1,35054 x 1,25060 x 1,12575 x 90090 x 750100 x 675108 x 625125 x 540135 x 500150 x 450180 x 375225 x 300250 x 270
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 67,500. That means 67,500 is NOT a perfect square
Step-by-step explanation:
no this number is not a perfect square