Question

what is the difference between the squares of 568 and 569​

Answer 1

Answer:

The square root of 568 in mathematical form is written with the radical sign like this √568. We call this the square root of 568 in radical form. The square root of 568 is a quantity (q) that when multiplied by itself will equal 568.

√568 = q × q = q2

hat is the last number of 569? It is this number: 569. The answer is 9. Is 9 in the list of numbers that are never perfect squares (2, 3, 7 or 8)?

Answer: NO, 9 is not in the list of numbers that are never perfect squares. Let's continue to the next step.

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:

5 + 6 + 9 = 20

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

2 + 0 = 2

What is the digital root of number 569?

Answer: 2

Step 3:

So now we know the digital root of 569 is 2. Is 2 in the list of digital roots that are always a square root (1, 4, 7 or 9)?

Answer: NO, 2 is not in the list of digital roots that are always perfect squares. We can conclude that 569 IS NOT a perfect square and we don't need to factor!

Answer 2

$\large\color{orange}{AN}\color{white}{SW}\color{GREEN}{ER}$

${(569)}^{2} - {(568)}^{2}$

${(569 - 568)}^{2}$

${(1)}^{2}$

$1$

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