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Because there is no number of the form x = p/q where p and q are integers such that x-squared = 2.

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โˆ™ 2014-08-20 07:34:44
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Why is square root of two an irrational number?
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Related questions

Is the product of two irrational numbers always an irrational number?

No. The square root of two is an irrational number. If you multiply the square root of two by the square root of two, you get two which is a rational number.


Can multiplying two irrational numbers give you an irrational number?

Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)


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. 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.


Is the square root of 8 an irrational number?

The square root of 8 is an irrational number because it cannot be represented as a fraction of two integers.


What are two integers for the square root of 31?

The square root of 31 is an irrational number and so there are no integers for it.


What type of number is the square root of two?

It is an irrational number, which is a kind of real number.


Is the square root of any whole number an integer ar an irrational number?

Some square roots of whole numbers are integers, some of them are irrational numbers. The square root of four for instance is a rational number, 2. The square root of two however is an irrational number, approximately 1.414211356.


Are irrational addition numbers closed under the closure property?

No. For example, the square root of two plus (minus the square root of two) = 0, which is not an irrational number.


Which of the following is an irrational number square root of 10 square root of two fifths or 5 and 2.5?

The two square roots are irrational.


Will you always get an irrational number when you multiply two irrational numbers if no provide a counterexample?

The square root of 2 times the square root of 2 is rational.


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 the The square root of 125?

The square root of 125 is an irrational number and it is about 11.18 rounded to two decimal places


What is 8 root 2 as a whole number?

It can't be expressed as a whole number. The square root of two is irrational, and the product of an irrational number and a rational number is also irrational. So 8*sqrt(2) is irrational.


The difference of two irrational numbers is an irrattinal number?

The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.


Is the square root of eighteen an irrational number?

Yes. It would be 21/2 * 91/2, or "three root two". Root two is an irrational number, so it's products - such as root 18, will be as well.


Is the square root of two fifths rational or irrational?

the square root of 2 fifths of irrational is 0.565685425


Is square root of 2 an Exact Number?

The square root of two is an irrational number. Rounded to ten decimal places, it is equal to 1.4142135623.


What is the last digit in the square root of two?

There is no last digit in the square root of 2. It is an irrational number - and continues forever.


Why is square root 7 irrational?

Because no two integer numbers divide to make the number "square root of 7".


Why an irrational number plus an irrational number equal a rational?

That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.


Is the square root of 12 a rational number or irrational number?

If the square root of a natural number is not an integer, then it is irrational. Another way to look at it: if a natural number N falls between two perfect squares, then the square root of N is irrational.So in this case, 12 is between 9 (3 squared) and 16 (4 squared). So the square root of 12 is between 3 and 4, and also the square root of 12 is irrational.


Is the square root of negative two an irrational number?

No, it is an imaginary number which is a complex number.


Is 0.95 an irrational number?

No. An irrational number is not expressible as a ratio of two integers. An irrational number has infinite and nonrecurring expansion. An example is pi, or the square root of 2.


Is the square root of two irrational?

Yes


What two whole numbers is square root of 110?

The square root of 110 is an irrational number and so it cannot be any two whole numbers.