# 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.

### 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…

### Is the square root of 25 rational or 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…

### Is 1.1 rational or irrational?

1.1 is the ratio of 11 to 10. It's rational. rational comes from the word ratio, so if the number can be expressed as a ratio of one whole number divided by another whole number than it is a rational number. 11/10 is a rational number. when trying to decide if a number is rational or irrational (like on a test), often its hard to know right away if the number could be expressed as…

### How do you figure 6 as a rational number?

Are you asking "Is 6 a rational number ? How do you know ?" Yes, 6 is definitely a rational number. There are two ways to know it ... one is an easy practical way, the other is the technical way. -- Pragmatic (practical): Any number that you can completely write with digits, without symbols or notes, is a rational number. 6 can be completely written with digits. Here, watch me, and I'll do it…

### Is a rational number a natural number?

A rational number is sometimes a natural number. For example, 7 would be a rational number and a natural number. But 7.25 is a rational number and not a natural number. A natural is the number 1 and any other number obtained by adding 1 to it repeatedly; either an element of the set {, , , ...} (the positive integers) or an element of the set {, 1, 2, 3, ...} (the non-negative integers)…

### Can the denominator be an integer in a rational number?

A rational number is defined as a number that can be expressed as the ratio (fraction) of two integers. So if you see a fraction that you know is a rational number, and the denominator isn't an integer, there's always something you can do to simplify it, without changing its value, so that the denominator and the numerator both are integers.

### Is 616611666111666611116 a rational number?

Yes, 616611666111666611116 is definitely a rational number. There are two ways to know it ... one is an easy practical way, the other is the technical way. -- Pragmatic (practical): Any number that you can completely write with digits, without symbols or notes, is a rational number. 616611666111666611116 can be completely written with digits. Here, watch me, and I'll do it: ' 616611666111666611116 ' . Watch. I'll do it again: ' 616611666111666611116 ' . Did…

### Is the number 23 an irrational number or a rational number?

Rational. All counting numbers (1, 2, 3 etc.) are rational. In fact many fractions/decimals are rational too. Rational just means that we know when the numbers stop. A good example of an irrational number is Pi, which equals 3.14159265358979.... and it just keeps going. No one knows the exact number of pi because as far as anyone can tell, the numbers keep going forever without any proper repeating pattern.

### Is -5.8 a rational or irrational number?

It is indeed a rational number. Do you know the definition of a rational number? It is a number which can be exactly obtained by dividing one integer into another integer. -5.8 can be obtained exactly by dividing -58 by 10. It doesn't matter that -58 is a negative number. It is still a whole number, otherwise known as an integer. An example of an irrational number (not a rational number) is √2. This number…

### Is 3.1214122144 an irrational number?

No, this is a rational number. It is 975,441,317/312,500,000. In general, any number which has a decimal representation that either terminates (ends after some finite length) or repeats is a rational number (not an irrational one). Because this decimal expansion terminates, it is a rational number. However, there are an infinite number of irrational numbers which begin with 3.1214122144.... Generally, we notate the approximation with the ellipses (...) and know we cannot record in a…