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

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Q: Are all square roots irrational numbers?
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What real number subsets are square root numbers in?

if there is no integer answer, they are irrationalex. sq root 5 is irrational but sq root 9 = 3 so it is rational,integer, counting numberif you are taking sq root of a negative they are imaginary ex. sqroot (-9)=========================The square roots of all positive real numbers are real numbers.The square roots of all negative real numbers are imaginary numbers.Some square roots are rational, but the vast majority are irrational.


How many irrational numbers are there between 1 and 6?

There are an infinite number of irrational numbers between 1 and 6. There are all the square roots from 1 to 36 except for 1, 4, 9, 16, 25, and 36. There are all the cube roots between 1 and 216 except for 1, 8, 27, 64, 125, 216. You can calculate fourth roots, fifth roots and continue calculating roots all year long. You should only have your supercomputer calculate irrational roots. Otherwise, you will duplicate. When you have calculated all roots of all prime numbers that fall between one and six, and added in all physical constants, then you will know the answer.


Are all square roots rational numbers?

No. Lots of square roots are not rational. Only the square roots of perfect square numbers are rational. So for example, the square root of 2 is not rational and the square root of 4 is rational.


Are natural numbers irrational numbers?

No. All natural numbers are whole, so they are rational. Irrational numbers like pi and the square root of 34 come in decimals.


What makes square roots different from other numbers?

Square roots, like sqrt(2), are irrational numbers. This means that they CANNOT be written as a ratio of two integers. All other real numbers can be written a s a ratio of two integers (for example, 5 is 5/1 0.33333... is 1/3 etc. But, sqrt(2) cannot be written as something over something. As a decimal, square roots never end and NEVER repeat.

Related questions

Are all square roots of even numbers rational?

No. The square roots 8 are irrational, as are the square roots of most even numbers.


Are all square roots are irrational numbers?

No. The square roots of perfect squares are rational.


What are non recurring irrational numbers?

All irrational numbers are non-recurring. If a number is recurring, it is rational. Examples of irrational numbers include the square root of 2, most square roots, most cubic roots, most 4th. roots, etc., pi, e, and most calculations involving irrational numbers.


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.


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.


What are ten irrational numbers?

The square roots of 2, 3, 5, 6, 7. In all cases there are two roots (+ and -).


Are all square roots irrational?

No.


Is the square root of 19 a rational number?

No. 19 is a prime number, and all prime numbers have irrational roots.


What kind of number system is a square root?

A square root is not a number system. Square roots of non-negative numbers may be rational or irrational, but they all belong to the set of real numbers. The square roots of negative numbers do not. To include them, the number system needs to be extended to the complex numbers.


Are irrational numbers used to find square roots?

All prime numbers have irrational number square roots, so if you try to find the square root of a non-perfect square number use them to simplify it. For example, ±√125 = ±√25*5 = ±5√5 (when you want to show both the square roots) √72 = √36*2 = 6√2 √-27 = √-9*3 = 3i√3


What real number subsets are square root numbers in?

if there is no integer answer, they are irrationalex. sq root 5 is irrational but sq root 9 = 3 so it is rational,integer, counting numberif you are taking sq root of a negative they are imaginary ex. sqroot (-9)=========================The square roots of all positive real numbers are real numbers.The square roots of all negative real numbers are imaginary numbers.Some square roots are rational, but the vast majority are irrational.


Why are all square roots not irrational numbers?

Because some of them are squares of rational numbers. So their square roots are the rational numbers.Thus if x is rational, then the square roots of x2, which are -x and +x are both rational.