Math, asked by ashwatha720, 1 year ago

Determine whether 450 is perfect square.​

Answers

Answered by kkhairnar789
1

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.

Answered by Sameerkr
1

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.

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