is 3375 a perfect square or not?
step by step explanation plz
Answers
Answer:
Step 1:
What is the last number of 3,375? It is this number: 3375. The answer is 5. Is 5 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: NO, 5 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:
3 + 3 + 7 + 5 = 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 3,375?
Answer: 9
Step 3:
So now we know the digital root of 3,375 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 3,375 could be a perfect square!
Factoring
OK, so now we know that 3,375 could be a perfect square. We have to find the factors of the number to be sure.
Here are all of the factors of 3,375:
1 x 3,3753 x 1,1255 x 6759 x 37515 x 22525 x 13527 x 12545 x 75
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 3,375. That means 3,375 is NOT a perfect square.
Step-by-step explanation:
Hence it is not a perfect square
hope it helps you
Answer:
No it is not
Step-by-step explanation:
Cause on making the factors it is like
5×5×5×3×3×3
and on combining it is in 2 no pair it is
5×5 × 5×3 × 3×3
cause 5×3 are not same we consider that 3375 is not a perfect square
BUT
when it come in cube of 3375 then yes it is a perfect cube .
Thanks.