what should be added to 4600 to make it a perfect square. also find the square root of the new number
Answers
Step-by-step explanation:
Step 1:
What is the last number of 4,600? It is this number: 4600. 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 + 6 + 0 + 0 = 10
If the answer is more than one digit, you would add each digit of the answer together again:
1 + 0 = 1
What is the digital root of number 4,600?
Answer: 1
Step 3:
So now we know the digital root of 4,600 is 1. Is 1 in the list of digital roots that are always a square root (1, 4, 7 or 9)?
Answer: YES, 1 is in the list of digital roots that are always perfect squares. We can conclude that 4,600 could be a perfect square!
Factoring
OK, so now we know that 4,600 could be a perfect square. We have to find the factors of the number to be sure.
Here are all of the factors of 4,600:
1 x 4,6002 x 2,3004 x 1,1505 x 9208 x 57510 x 46020 x 23023 x 20025 x 18440 x 11546 x 10050 x 92
Whoa! That is a lot of factors!
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 4,600. That means 4,600 is NOT a perfect square.
More Examples
Number 4,598 4,599 4,601 4,602
Perfect Square? no no no
Answer:
24 should be added to 4600 to get a perfect square number.
The square root of the new number is 68
