Math, asked by logeswarianandank, 5 hours ago

Is 11664 is a perfect cube?
please answer with explanation

Answers

Answered by lalitkuloralalitkulo
1

Answer:

Step 1:

What is the last number of 11,664? It is this number: 11664. The answer is 4. Is 4 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 4 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:

1 + 1 + 6 + 6 + 4 = 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 11,664?

Answer: 9

Step 3:

So now we know the digital root of 11,664 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 11,664 could be a perfect square!

Step-by-step explanation:

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