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Q: How do you know whether a number is a perfect square?

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When it can be square rooted

Take any integer n and square it and you have a perfect square. Then you might want to know if a given number is a perfect square. Take the square root of a number and if it is a whole number, then the number is a perfect square.

Assuming your number is an integer: if the number is a perfect square, the number is of course an integer, and therefore rational. If the number is NOT a perfect square, it is irrational.

We need to know what number the square is a factor of.

It's a perfect square.

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.

If you have a number like 12 and you multiply it by the same number: 12 and the answer you get is a whole number, then the whole number is the perfect square.

It's a perfect square.

Find the square root of the number.Take the integer part of the answer.Square the integer part.Subtract this square from the original number.

a number is a perfect square when you can directly extract its square root in whole numbers and without approximation. when you subject a certain number to a radical sign, you can extract its square. example: 25 is a perfect square. it's square root is 5, since 5 x 5 is equal to 25

When the square root is an integer.

Take LCM of a number and if the LCM denominators fall in pair able group it is a perfect square. for eg: to know the whether 6084 is square number the L.C.M will be 2, 2, 3, 3, 13 & 13 so we have 3 pairs of 2, 3 & 13 therefore 6084 is a square of 2 x 3 x 13 = 78

One trick for finding whether or not a number is a perfect square is to subtract a series of odd numbers from it. If you get down to exactly zero, it is a perfect square. For example: 49 - 1 = 48 48 - 3 = 45 45 - 5 = 40 40 - 7 = 33 33 - 9 = 24 24 - 11 = 13 13 - 13 = 0 Because our series of subtractions led us to the number zero, we know that 49 is a perfect square. On top of that, this technique will also tell you what it's square root is. The square root of the number will be equal to the number of subtractions required to get down to zero. In this case, we made seven subtractions, which tells us that seven is the square root of forty-nine.

It is not a perfect square. 5-square = 25 6-square = 36 So there cannot be a perfect square between 25 and 36.

The most obvious answer here is to simply take it's square root, and see if the answer is an integer. If it is, then your number is a perfect square. If you don't know it's square root offhand and don't have a calculator handy, you could do it by adding up a series of odd numbers, and seeing if they reach a sum that is equal to the original number. If they do, then you have a perfect square. Otherwise, you don't. For example, is 36 a perfect square? Let's find out: 0 + 1 = 1 1 + 3 = 4 4 + 5 = 9 9 + 7 = 16 16 + 9 = 25 25 + 11 = 36 Since we hit 36 with our addition, we know that 36 is indeed a perfect square.

A square root is simplified when: -The radicand has no perfect square factors other than 1 -The radicand has no fractions -There are no square roots in the denominator *Radicand: the number and/or variables underneath the square root sign

no, but I don't know why. One is not a prime number and by definition of a perfect number one must be a prime number.

No real short cut I know of, just learn your multiplication tables and know your perfect squares. Once you do that you recognize that 36 is the perfect square of 6 so 3600 is the square of 60.

I dont know too

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.

yes. 33550336 is in fact a perfect number. i know this because on a math problem it asks "show that each number is perfect", so it must be perfect. :) ur welcome!

You must know the perfect squares in order to answer this question, which are as follows: {1, 4, 9, 16, 25, 36, 49,......}. So, 17 is in between 16 and 25, so the next perfect square would be 25.

A "perfect number" is a number that is equal to the sum of its factors (that is, the factors that are less than the number). As far as I know, there is no concept of "quasi-perfect" in number theory.

Every square number has a square root

Before you try to factor that number, you have a couple of insurmountableproblems just finding it.-- there is no such thing as the square root of a negative number, unlessyou know how to work with 'i', the unit 'imaginary' number;-- 108 is not a perfect square number, so it's not even possible to write itsexact square root.About the best you can do is:(6 i) x sqrt(3)