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Q: How would you differentiate rational algebraic expressions from those which are not?

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Rational expressions are fractions and are therefore undefined if the denominator is zero; the domain of a rational function is all real numbers except those that make the denominator of the related rational expression equal to 0. If a denominator contains variables, set it equal to zero and solve.

Algebraic expressions contain alphabetic symbols as well as numbers. When an algebraic expression is simplified, an equivalent expression is found that is simpler than the original. This usually means that the simplified expression is smaller than the original. There is no standard procedure for simplifying all algebraic expressions because there are so many different kinds of expressions, but they can be grouped into three types: (a) those that can be simplified immediately without any preparation. (b) those that require preparation before being simplified. (c) those that cannot be simplified at all. <3 Tiffany ur welcome

3x2 has x, x2 , and 3 as factors. 2x-5 does not have any of those as factors. So the greatest common factor is 1. If you were adding rational expressions with those two expressions in the denominator, you would need to multiply them together to find the least common denominator.

Rational values- those are necessary to the functions and fulfillment of intellect and will.

Irrational numbers can be divided into algebraic numbers and transcendental numbers. Algebraic numbers are those which are the solutions to algebraic equations with integer coefficients: for example, x^2 = 2. Transcendental numbers are those for which there are no corresponding algebraic equations. pi, e are two examples.

Actually there are more irrational numbers than rational numbers. Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number. The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.

All of those three numbers are rational.

If those are all the digits, then it is rational.

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

Because both of those numbers are rational. The sum of any two rational numbers is rational.

No, rational number are ones that can be written as a/b where a and b are integers. Irrational numbers are those real number that are NOT rational.

No, rational number are ones that can be written as a/b where a and b are integers. Irrational numbers are those real number that are NOT rational.

Those are 'factors'.

Can someone who's colorblind differentiate between brown and green? We've known those identical twins for years and I still can't differentiate between them. Most people can differentiate between the two soft drinks by taste.

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The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.

Yes. Take the average of the two numbers. Since those two numbers are rational, their average will also be rational.

Compare the tasks of the weather analysts with those of a weather forecaster.

Yes - any integer, whether positive or negative, is rational. Rational numbers are defined as those which can be expressed as a ratio or non-recurring fraction or decimal.

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There is not enough information to provide an answer. The prism could be thin and long or fat and short and there is no way to differentiate between those possibilities. There is not enough information to provide an answer. The prism could be thin and long or fat and short and there is no way to differentiate between those possibilities. There is not enough information to provide an answer. The prism could be thin and long or fat and short and there is no way to differentiate between those possibilities. There is not enough information to provide an answer. The prism could be thin and long or fat and short and there is no way to differentiate between those possibilities.

Yes. Rational numbers are those that can be expressed as fractions with one whole number over another.

All those numbers than can b represented as one integer over another integer r rational.

No. Rational numbers are those numbers that can be expressed as a ratio of two integers. 2.4, for example, is a rational number (it can be written as the ratio 12/5), but not a counting number.

The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).