Question

1000 is a perfect sqare number ​

Answer 1

1. A number that is a perfect square never ends in 2, 3, 7 or 8. If your number ends in any of those numbers, you can stop here because your number is not a perfect square.

• Obtain the digital root of the number. The digital root essentially is the sum of all of the digits. If you're lost, don't worry, we'll go over each step in more detail below.
• All possible numbers that are a perfect square have a digital root of 1, 4, 7, 9.

Step 1:

the last number of 1,000,It is 0. 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:

1 + 0 + 0 + 0 = 1

the digital root of number 1,000 is 1

Step 3:

we know the digital root of 1,000 is 1. 1 is in the list of digital roots that are always perfect squares(1,4,7or9). We can conclude that 1,000 could be a perfect square!

Factorising:

OK, so now we know that 1,000 could be a perfect square. We have to find the factors of the number to be sure.

Here are all of the factors of 1,000:

• 1 x 1,000
• 2 x 500
• 4 x 250
• 5 x 200
• 8 x 125
• 10 x 100
• 20 x 50
• 25 x 40

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 1,000. That means 1,000 is NOT a perfect square.

Hope this answer helped....stay safe mate....thank you