show that 41616 is a perfect square and also find its square root
Answers
Answer:
YES
Step-by-step explanation:
Step 1:
What is the last number of 41,616? It is this number: 41616. The answer is 6. Is 6 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?
Answer: NO, 6 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:
4 + 1 + 6 + 1 + 6 = 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 41,616?
Answer: 9
Step 3:
So now we know the digital root of 41,616 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 41,616 could be a perfect square!
Answer:
Write the prime factors of 41616
41616 = 2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 = 2² × 2² × 3² × 17²
Now take square root of each numbers
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