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I'm assuming you're wondering if a number is a perfect square?

Well, memorization will help as will guess and check. However, if you feel like doing it all by hand, simplifying the square will help you determine if it is a perfect square.

Example: let's figure out if the number 225 is a perfect square.

Let's take 225 and factor it. When you factor this number, you want to look at factoring numbers which are a perfect square in and of themselves. So 22 is 4, but that doesn't factor, how about 52 ? 25 will indeed factor, so we have 25*9 (look at that, 9 is also a factor). If we split it up like this, we have sqrt(25*9). We can take the square root of these individually and multiply them together. sqrt(25)*sqrt(9) = 5*3 = 15. Therefore 225 is a perfect square of 15.

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13y ago
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15y ago

if toy times 1 by it self the answere would be 1 square number.

so times the number by it self it would be a square number

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Q: How do you know if a number is square number?
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How will you know that the root of a given number is even or odd?

Assuming you know that your number is a perfect square, the square root of an even number is even, and the square root of an odd number is odd.


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