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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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14y ago

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Continue Learning about Other Math

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.


How do you evaluate a square root?

You know to find out which out which number has been timed by itself to make the number in the square root. For example: If the number inside the square root is 49, you need to find out which number has been timed by itself to make 49. As you may know, the number inside the square root is always a square number, so I would advise you to learn the list of square numbers. 7 x 7= 49, so the square root of 49 is 7. Remember that Evaluate simply means work out. So when to asked to evaluate a square number, cube number, square root, cube root etc., simply just work it out. Evaluating powers and roots is grade D in maths.


Write what you know about facts with square numbers?

The ending digit of square number is either 0, 1,4,5,6 or 9 only.


What is it called when a number has a whole number square root?

Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".Then the number is called a "perfect square".


What does it mean to multiply a number by itself?

A number multiplied by itself it called squared. All this means is simply x times x where x is the number you wish to multiply by itself, or, as you now know, square. ;-) Here's the first 15 numbers, and their square numbers: 1 x 1 = 1; 1 is a square number 2 x 2 = 4; 4 is a square number 3 x 3 = 9; 9 is a square number 4 x 4 = 16; 16 is a square number 5 x 5 = 25; 25 is a square number 6 x 6 = 36; 36 is a square number 7 x 7 = 49; 49 is a square number 8 x 8 = 64; 64 is a square number 9 x 9 = 81; 81 is a square number 10 x 10 = 100; 100 is a square number 11 x 11 = 121; 121 is a square number 12 x 12 = 144; 144 is a square number 13 x 13 = 169; 169 is a square number 14 x 14 = 196; 196 is a square number 15 x 15 = 225; 225 is a square number A square number is just a number that can be square rooted and results in a whole number.

Related Questions

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.


If you do not know the square root of a really big number how do you know if its rational?

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.


How do you know a number is a perfect square?

When it can be square rooted


What do you know about square roots?

Every square number has a square root


Can the square of an irrational number be rational?

The answer to this question confuses me. The square root of two is an irrational number, so obviously if the square root of two is squared it becomes two which is a rational number. Thinking of it that way then the answer is yes, the square of an irrational number can be a rational number. But . . . You had to know beforehand that the irrational number was the square root of another number. If you start out with an irrational number such as Pi you cannot square it because you cannot know the entire number in order to square it.


What do you know about square numbers?

A square number is multiplied by two of the same numbers.


What is largest perfect square factor?

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


Can a square rooted number be a real number?

yes they can if i know what you are asking


How we know which smallest number is subtracted to get 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.


What do we know about a number that has an odd number of distinct factors?

It's a perfect square.


Why is A square number?

81 is a square number because 81 is 9.9 x 9 and that makes is a square number. Somw how, i don't even know why 9.9 x 9 = 81. So that's all i know, that's alli can say.


What is thet square root of 9?

Simply put :3 If you want to know more The square root of a number is the positive number that squared will give the number under the square root