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Q: What number differs from a perfect square by 1 is even and is less than 30?
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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).


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

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


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.


What number is a perfect square a even number and less than 16?

It is: 4


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.


Does a perfect square number have even or odd number of distinct 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.


What is an even sided shape?

a perfect square; it is an even number of sides (4); and all sides are identical


Why do perfect squares have an odd number of factors?

Because the square root isn't listed twice.