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Is the square root of all 123 irrational?

Updated: 4/28/2022
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8y ago

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Yes, it is.

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Q: Is the square root of all 123 irrational?
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Is the square root of 41 irrational?

Yes in fact the root of all prime numbers is irrational.


Is the square root of 32 an irrational or a rational number?

The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.


Is the square root of 97 rational or irrational?

The square root of ANY positive integer is either a whole number, or an irrational number. Only the perfect squares have whole number square roots; all the rest are irrational. 97 is not a perfect square therefore √97 is irrational.


Is the square root of negative 3 an irrational or a real number?

Neither. All irrational numbers are real numbers.Using the real number system you can't take the square root of a negative number, but if you're dealing with imaginary numbers then the square root of negative 3 is the square root of 3i


Are there irrational numbers that are not real numbers?

An imaginary number i is defined as the square root of -1, so if you have something like the square root of -2, the answer would be i root 2, and that would be considered an irrational non-real number.* * * * *Not quite. The fact that irrational coefficients can be used, in conjunction with i to create complex numbers (or parts of complex numbers) does not alter the fact that all irrational numbers are real numbers.

Related questions

Is the square root of 41 irrational?

Yes in fact the root of all prime numbers is irrational.


Is the square root of 13 irrational or rational?

The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.


Is the square root of 32 an irrational or a rational number?

The square root of a positive integer can ONLY be:* Either an integer, * Or an irrational number. (The proof of this is basically the same as the proof, in high school algebra books, that the square root of 2 is irrational.) Since in this case 32 is not the square of an integer, it therefore follows that its square root is an irrational number.


Is the square root of all even numbers irrational?

No.


Are all square roots irrational numbers?

No. Square root of 9=3. 3=3/1. Therefore not all square roots are irrational


Are square root irrational?

Usually they are. More specifically, if you take the square root of a positive integer, there are only two possibilities:* If you take the square root of a perfect square, you get a whole number. * In all other cases, you get an irrational number.


What is a example of an irrational number?

pi, the square root of 2, and e are all irrational numbers.


Are irrational numbers square roots?

Usually they are. More specifically, if you take the square root of a positive integer, there are only two possibilities:* If you take the square root of a perfect square, you get a whole number. * In all other cases, you get an irrational number.


Is the square root of 97 rational or irrational?

The square root of ANY positive integer is either a whole number, or an irrational number. Only the perfect squares have whole number square roots; all the rest are irrational. 97 is not a perfect square therefore √97 is irrational.


Is the negative square root of 9 rational irrational a whole number or an integer?

It is all of them except for irrational.


What real number is also irrational?

All real numbers are irrational. For example, Pi is an irrational number that is a real number. Other irrational numbers can be the square root of an imperfect square.


Is the square root of negative 3 an irrational or a real number?

Neither. All irrational numbers are real numbers.Using the real number system you can't take the square root of a negative number, but if you're dealing with imaginary numbers then the square root of negative 3 is the square root of 3i