Question

Whats the square root of 9604 step by step explanation

Answer 1

square root of 9604 is 98 , you can find it by prime factorisation or division method

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Answer 2

Let's try it...

Step 1:

What is the last number of 9,604? It is this number: 9604. The answer is 4. Is 4 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 4 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:

9 + 6 + 0 + 4 = 19

If the answer is more than one digit, you would add each digit of the answer together again:

1 + 9 = 10

The answer is more than one digit again, we need to add each digit one more time:

1 + 0 = 1

What is the digital root of number 9,604?

Answer: 1

Step 3:

So now we know the digital root of 9,604 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 9,604 could be a perfect square!

Factoring

OK, so now we know that 9,604 could be a perfect square. We have to find the factors of the number to be sure.

Here are all of the factors of 9,604:

1 x 9,6042 x 4,8024 x 2,4017 x 1,37214 x 68628 x 34349 x 19698 x 98

Highlighted in orange above is the factor combination that makes 9,604 a perfect square. Do you see why? A number can only be a perfect square if the product of two exactly the same numbers is equal to the original number.

Here's the proof: 98 x 98 = 9,604