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

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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.

It's the ratio of 121 to 1, so it's rational. I think the square of any rational number is a rational number. In fact, I'm sure of it, because I know how I could prove it.

For a start, the square root of any integer is either an integer, or an irrational number.

A number is rational if it has a pattern or it comes to an end.

It is always rational.

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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.

It's the ratio of 121 to 1, so it's rational. I think the square of any rational number is a rational number. In fact, I'm sure of it, because I know how I could prove it.

For a start, the square root of any integer is either an integer, or an irrational number.

The square root of 25 is 5. 5 is a rational number. A rational number is a whole integer, like 3 or 5 or -8. Also, 4.333333... is a rational number because we know exactly what the number is. We know the number is 4 and 1/3, nothing more, nothing less. An irrational number is a number that goes on and on, with no specific pattern. A famous irrational number is pi. 3.14159....... Another example would be 453.788192742917471085723.......... Or 2.10100100010000100000........

If its positive version is rational then it is rational and if not, it is not.

rational

Yes.Because you know where the decimals on the number end, it is a rational number. If you are just rounding the number, and it's really 50.85624861913756843168713843134313764673388 .... etc., with the decimals continuing forever without a pattern, then it is irrational.

A number is rational if it has a pattern or it comes to an end.

I don’t know

I don’t know

It is always rational.

Rational!!!! Casually, any decimal that can be converted to a fraction/ratio is Rational. 1.1 = 1 1/10 = 11/10 Irrational numbers are those that cannot be converted to a fraction/ration. The most well known IRRATIONAL number is 'pi = 3.141592....' Irrational numbers are those were the decimals go to infinity AND the decimal digits are not in any regular order. Rational ; 1/3 = 0.3333.... Irrational ; sqrt(2) = 1.414213562....