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# Is the square root of an even perfect square is always an even number?

Updated: 9/16/2023

Wiki User

7y ago

Yes. And this means that any even perfect square is always a multiple of 4 - not just 2.

Wiki User

14y ago

Wiki User

7y ago

Yes.

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Q: Is the square root of an even perfect square is always an even number?
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### When a number is even is the root even too?

The square root of an even number can be an even number (if it is a perfect square), or an irrational number (if it is not).

### Is the square of an even number odd or even?

The square of an even number is always even.

### 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.

### Is -4 a perfect square?

No. There's no real number you can square and get -4. Not even approximately.In fact, there's no real number you can square and get any negative number.

### Do odd numbers always have an odd number of factors?

No. Consider 15: 1,3,5,15 Every positive whole number has an even number of factors, unless the number is a perfect square.

It is: 4

### Choose a counting number square it then add the original number the result will always be even?

Square of any even counting number is always an even number and square of any odd number is always odd. Addition of even number and its square is always an even number because even + even results in even number and addition of odd number and its square is always an even number because odd + odd = even number. Since natural or counting numbers consists of only even and odd, which comes one by one after each other. So, according to the question and the given condition only one answer comes out which is an even number. e.g. let us take the counting number like 8, square of 8 = 82 =64 and addition of 8 and its square =8+64 =72 which is an even number.

### Is twelve a perfect square?

3x3 = 9; 4x4 = 16. Those are perfect square; 12 is not the square of any integer, or even of any rational number.

### Does a perfect square number have and even or odd number of distinct factors show how you determine your answer?

Odd. I determined my answer by looking at the number of factors of a square number.

### Do all numbers have an even number of factors?

No. Perfect square numbers have an odd number of factors.

An odd number.

### Is the square root of 3 a rational number?

No. 3 is not a perfect square, so its square root is irrational.