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Yes; there are some lengths that can be measured but not described by the form a/b, where a and b are integers. For example, a right triangle with legs of length 1 has a hypotenuse of the square root of 2, which is an irrational number.

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Q: Is it possible to make a physical measurement obtain an irrational number?
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Related questions

Is it possible for the product of irrational number and a rational number to be a rational number?

Yes, it is possible only if an irrational number is multiplied with 0.


Is the circumference of a compact disk an irrational number rational number an integer or whole number or natural number?

it is a whole number, and not an integer because you cannot have a negative circumference.


Is it possible for the product of a whole number and an irrational number to equal a rational number?

No.


Is it possible to get an answer that is not round when you divide an integer by an irrational number?

Yes. 3/sqrt(2) is an irrational number and so cannot be round.


Cannot be used to express the number 8?

An irrational number is one possible answer.


Is Golden ratio a rational or irrational?

It is irrational. Any number that cannot be written as a fraction is irrational. So if the Golden Ratio were rational, instead of a never-ending decimal number, you'd see a fraction. The official measurement is (1+sqrt5)/2. sqrt5 is irrational.


What is Hypotenuse measurement of right triangle with legs of 7 and 2?

It is an irrational number which is the square root of 53


Is the number 0.040040004.. rational or irrational number?

It is not possible to tell. There is no recurring pattern that can be discerned.


Why is it not possible for a whole number other than 0 multiplied by an irrational number to be equal a rational number?

It certainly is possible. For example, the square root of 2 times the square root of two is equal to two. Another example: pi multiplied by (1/pi) is equal to 1.Ans. 2No, it is not possible. The two 'counterexamples' above involve multiplying the irrational number by another irrational number. But, the question specifies multiplying the irrational number by a whole number other than zero. As long as you obey that restriction you are stuck with an irrational result.


When is it possible for the product of a rational and an irrational number to result in a rational value?

When the rational number is 0.


Can you add a rational number and an irrational number and get a rational number?

No, the result is always an irrational number. In more advanced math it is possible to add an infinite amount of rational numbers by way of Taylor Series and get an irrational number. This is how numbers like "Pi" and "e" are derived.


What is an example of an irrational but whole number?

That 's not possible since irrational numbers have infinity digits. All whole numbers are rational.