Determine whether 450 is perfect square.
Answers
Step-by-step explanation:
Step 1:
What is the last number of 450? It is this number: 450. 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:
4 + 5 + 0 = 9
What is the digital root of number 450?
Answer: 9
Step 3:
So now we know the digital root of 450 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 450 could be a perfect square!
Factoring
OK, so now we know that 450 could be a perfect square. We have to find the factors of the number to be sure.
Here are all of the factors of 450:
1 x 4502 x 2253 x 1505 x 906 x 759 x 5010 x 4515 x 3018 x 25
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 450. That means 450 is NOT a perfect square.
Answer:
YES, 9 is in the list of digital roots that are always perfect squares. We can conclude that 450 could be a perfect square!
...
Why is 450 not a perfect square?
What is the last number of 450? It is this number: 450. ...
4 + 5 + 0 = 9. ...
So now we know the digital root of 450 is 9.