Math, asked by nikugurung15, 1 month ago

is 3375 a perfect square or not?

step by step explanation plz​

Answers

Answered by csbabunithya
2

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

Answered by singhaniket1981
0

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.

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