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Q: How would you express the zeros of the equation x2 - 2 equals 0 Are the two zeros of this equation integers rational numbers or irrational numbers?

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If you can express a real numbers as a fraction (with integers in the numerator and the denominator), then it is rational. Otherwise it is irrational.

Most numbers ARE rational. For instance all the integers and most real numbers are rational numbers. To be an irrational number a real number must be impossible to express as a ratio of integers.

It is rational, as it is possible to express it as a fraction.

It is rational, as it is possible to express it as a fraction.

To express certain numbers that can't be expressed as a rational number - i.e., that you can't write as a fraction, with integers in the numerator and the denominator.

A rational number cannot be expressed as a ratio of two integers, the second of which is positive.

A rational number is one that you can express as a ratio (fraction) between two integers, e.g., 3/5, 5/8, 11/3, 9/1. The last example shows that rational numbers include the integers.An irrational number is one that you can not express as such a fraction. This includes most square roots, for example, the square root of an integer is either an integer, or an irrational number. It also includes the numbers pi and e, which are very important in math.A rational number is one that you can express as a ratio (fraction) between two integers, e.g., 3/5, 5/8, 11/3, 9/1. The last example shows that rational numbers include the integers.An irrational number is one that you can not express as such a fraction. This includes most square roots, for example, the square root of an integer is either an integer, or an irrational number. It also includes the numbers pi and e, which are very important in math.A rational number is one that you can express as a ratio (fraction) between two integers, e.g., 3/5, 5/8, 11/3, 9/1. The last example shows that rational numbers include the integers.An irrational number is one that you can not express as such a fraction. This includes most square roots, for example, the square root of an integer is either an integer, or an irrational number. It also includes the numbers pi and e, which are very important in math.A rational number is one that you can express as a ratio (fraction) between two integers, e.g., 3/5, 5/8, 11/3, 9/1. The last example shows that rational numbers include the integers.An irrational number is one that you can not express as such a fraction. This includes most square roots, for example, the square root of an integer is either an integer, or an irrational number. It also includes the numbers pi and e, which are very important in math.

Yes, because you can express it as a ratio of two integers, for example, -15 / 100. This can be simplified, but that's not necessary to prove it is rational.Yes, because you can express it as a ratio of two integers, for example, -15 / 100. This can be simplified, but that's not necessary to prove it is rational.Yes, because you can express it as a ratio of two integers, for example, -15 / 100. This can be simplified, but that's not necessary to prove it is rational.Yes, because you can express it as a ratio of two integers, for example, -15 / 100. This can be simplified, but that's not necessary to prove it is rational.

A rational number is any number which can be expressed as a division of two integers. 1384 is itself an integer and thus has to be a rational number. This is because you can simply express it as the fraction 1384/1. All integers are rational numbers.

Integers are a subset of rationals, so 360 is a rational. If you must express it as a ratio, the simplest is 360/1.

It is not possible to divide one rational number by another to obtain an irrational number. A rational number is of the form a/b where a and b are both integers, whereas an irrational is a number which is impossible to express in the previously mentioned way. Let A=(a/b) and B=(c/d) where A and B are both rational numbers. Consider the quotient A/B, this is the same as A(1/B). Rewrite this as (a/b)x(d/c). Assuming we all know basic arithmetic with fractions we can clearly see that the dividend is axd and the divisor is bxc, and the new expression is (axd)/(bxc). Since a, b, c, and d are all integers and the integers are closed under multiplication (two integers multiplied by each other produce another integer) our new expression as a single fraction is one integer over another and it is therefore a rational number.

They are called a rational number.

sqrt(40) or 2*sqrt(10) Evaluating the above will result in a decimal approximation which will be rational, not irrational.

-4 is an integer, so the easiest way to express it as a quotient of two integers is as(-4)/1.

There are very many uses for them. A square, whose sides are a rational number, will have a diagonal of irrational length. The diagonals of most rectangles, with rational sides, will be irrational. The circumference and area of a circle (or ellipse) is related to pi, an irrational number. In the same way that pi is central to geometry, another irrational number, e, is fundamental to advanced calculus.

R was used for Real numbers. Q, for rational numbers refers to the fact that it must be possible to express them as quotients [of two integers].

1.8 is a rational number.It is said to be rational because we can express this value as a fraction, where the denominator (the number at the bottom), is not equal to 0.For instance, we could write this number as 18/10.

It is not easy. If the value is rational then you must be able to express the value under the radical sign as p2/q2 where p and q are integers and q is non-zero. If not, then the number is irrational.It is not enough to require that for a rational, the number under the radical must be a perfect square since sqrt(2.25) is rational even though 2.25 is not a perfect square.

there are rational numbers--numbers that you can express as a fraction irrational numbers--numbers you cannot express as a fraction integers--whole numbers and their opposites(negatives) whole numbers--0, 1, 2, 3,... natural or counting numbers--1, 2, 3,....

here are rational numbers--numbers that you can express as a fraction irrational numbers--numbers you cannot express as a fraction integers--whole numbers and their opposites(negatives) whole numbers--0, 1, 2, 3,... natural or counting numbers--1, 2, 3,....

A rational number is one that can be written as a simple fraction, with integers in the numerator and denominator. A number that can't be written this way is irrational.Also, a rational number, when calculated as a decimal, will either terminate (for example, 1/4 = 0.25), or it will repeat a certain digit or group of digits over and over, after a certain point (for example, 1/6 = 0.16666666...)

Do you mean can we subtract one rational number from another rational number and get an irrational number as the difference? I'm not a mathematician, but I suspect strongly the answer is no. Wouldn't this imply that we can sometimes add a rational number to an irrational one, and get a rational number as a sum? That doesn't seem possible.Ans 2.It isn't possible. Proof :-Given two rational numbers, multiply the two denominators.Express each rational in terms of the common multiple.Algebraically add the numerators of the new rational numbers.Put this over the common multiple; there's the result expressed as a ratio.

An irrational number must not have a repeating sequence. If we have a number, such as 0.333333...., we can turn this into a rational number as such.Let x = 0.333333......, then multiply both sides by 10:10x = 3.333333......Now subtract the first equation from the second, since the 3's go on forever, they will cancel each other out and you're left with:9x = 3. Now divide both sides by 9: x = 3/9 which is 1/3, a rational number equal to 0.3333333....If a number can be expressed as the ratio a/b, where a and b are integers (with the restriction that b not equal zero), then the number is rational. If you cannot express the number as such, then it is irrational.

A rational number is any number that can be express as a ratio integers whose decimal value is finite or at some point repeats with out end. (Any whole number - positive or negative- can be expressed as an improper fraction.

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