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The square roots 8 are irrational, as are the square roots of most even numbers.

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โˆ™ 2013-12-28 17:29:57
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Q: Are all square roots of even numbers rational?
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What is a set of rational numbers not closed under?

It is not closed under taking square (or other even) roots.


Determine if square root is rational or irrational?

Some square roots are rational, some are irrational (and some are not even real).


Is odd or even numbers rational numbers?

Every odd or even number is a rational number, and there are a lot more rational numbers besides those.


Are decimal numbers integers or rational numbers?

They can be integers, rational numbers or even approximations for irrational numbers.


What are the numbers between two rational number?

There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.


Can pi be represented by a rational number in a numbering system that is not to base ten?

No. In fact, because pi is a transcendental number it cannot be represented in such a way even in a base composed of "ordinary" irrational numbers like square [or other] roots.


Can negative one half be a rational number?

Yes - all numbers that can be written as ratios, even negative numbers, are rational numbers.


What is the square roots of a even number from 10 to 20?

16 is an even number from 10 to 20, and its square roots are -4 and +4.


Rational numbers from smallest to largest?

There are an infinite number of rational numbers so it would be foolish to even try to list them.


How can you use rational number to represent real world problems?

You cannot. The diagonal of a unit square cannot be represented by a rational number. However, because rational numbers are infinitely dense, you can get as close to an irrational number as you like even if you cannot get to it. If this approximation is adequate than you are able to represent the real world using rational numbers.


What are all the square roots of every number?

Asking for a list for "every number" really doesn't make sense; there are infinitely many numbers, even if you are referring only to whole numbers. You can get the square root of specific numbers on any calculator.


Is the set of all rational numbers continuous?

Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.


To which subsets of the real numbers does -18 belong?

Rational numbers, whole numbers, negative numbers, even numbers, integers


-5 is a rational number?

yes, rational numbers are numbers that can be formed as a fraction hence -5/1 even with a minus sign on it irrational numbers are surd numbers, numbers that cant be expressed as a fraction


Is the square root of -24 rational?

No. The square root of -24 isn't even real, let alone rational because the square root of any negative number is going to be an imaginary number.


Are All square numbers even numbers?

No


What is a 'real number' in relation to Math?

Real numbers include positive and negative numbers, integers and fractional numbers, and even irrational numbers - numbers that are between rational numbers, but that are not rational numbers themselves. (A rational number is one that can be written as a fraction, with integers in the numerator and the denominator.) Real numbers can be represented as points on a straight line.


Can odds numbers and even numbers be square numbers?

yes


What is between 12 and 18?

Infinitely many rational numbers and even more irrational numbers.


Can you give me an example of an infinite set?

The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.


Can you multiply two irrational numbers to get a rational number?

Yes, for example sqrt(2) * sqrt(18) = 6. Note: here sqrt(n) represents the square root (second root) of n. To simplify this expression we obtain: sqrt(2) * sqrt(18) = sqrt(2) * sqrt(2) * sqrt(9) = 2 * 3 = 6. Generally, it is easy to create cases where two or more irrational numbers are multiplied to create a rational number using roots. The definition of the root clearly relates it back to rational numbers. This task becomes more difficult and even impossible if certain combinations of numbers are not allowed (e.g. transcendental numbers, no direct roots, etc.).


What is wonder?

wonder is the sum of two even numbers in a rational function.


What is a rational or irrational number called?

Hmmmm, tricky question.... seems to me like these numbers would most likely be called..... oh i don't know, numbers maybe?and rational numbers get even easier to answer, because they have true definition.If you are referring to Square (or any) roots, that try using the ______ root of ____.e is Euler's Constant, and π is pihope this helps-Nick Ogre


How many square roots can a positive number have?

Every positive number has two square roots, though the roots are not always whole numbers (or even rational numbers). The more obvious of each numbers roots is the positive one.The positive square root of 4 is 2, because 2*2=4.The positive square root of 5 is roughly 2.236068.The other square root of a number is the negative inverse of their positive root. This is because when two negative numbers are multiplied together the negative signs "cancel out", leaving a positive number.The negative square root of 4 is -2, because -2*-2=4.The negative square root of 5 is roughly -2.236068.Zero has only one square root, itself, and no negative number has any (real number) square roots, since no number multiplied by itself will result in a negative.


Are all square numbers even?

No - all squares of even numbers are even - while all squares of odd numbers are odd.

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