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See lemma 1.2 from the cut-the-knot link.

Yes, you can.

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โˆ™ 2010-11-11 15:23:45
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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: Can you always find a rational number where the rational number is between two irrational numbers?
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Related questions

Are irrational numbers always rational?

Irrational numbers are never rational numbers


Are whole numbers rational or irrational?

Whole numbers are always rational


Is the quotient of two irrational numbers rational?

In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.


Are the sum of two rational numbers rational or irrational?

They are always rational.


Is the sum of two rational numbers is it rational or irrational?

Such a sum is always rational.


What is an irrational plus two rational numbers?

Since the sum of two rational numbers is rational, the answer will be the same as for the sum of an irrational and a single rational number. It is always irrational.


The sum of rational numbers and an irrational number?

It is always an irrational number.


What statement about rational and irrational numbers is always true?

Rational numbers can be expressed as fractions whereas irrational numbers can't be expressed as fractions


Would the difference between two irrational numbers is always going to be rational?

No. sqrt(3) - sqrt(2) is irrational.


Are some rational numbers are irrational numbers?

Absolutely not. A real number is always either rational or irrational. The two are mutually exclusive.


Is a real number always irrational?

Real numbers can be rational or irrational because they both form the number line.


Is the product of two rational numbers irrational?

The product of two rational number is always rational.


Are integers always irrational numbers?

No. In fact, integers are never irrational numbers.


Is 1210 a irrational number?

Whole numbers are always rational.


Is real number is always a rational number?

No,, not always. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


When you divide two irrational numbers is it always irrational?

No. If x is irrational, then x/x = 1 is rational.


Is the product of a rational number and irrational number always rational?

No.A rational times an irrational is never rational. It is always irrational.


Are rational numbers always real numbers?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is a rational plus an irrational equals a rational?

No. A rational plus an irrational is always an irrational.


Why is a real number always rational?

They are not. Sometimes they are irrational. Irrational numbers cannot be expressed as a fraction.


Is the sum of a rational and irrational number rational or irrational?

It is always irrational.


Is 10x 3.14 irrational?

The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.


A natural number is always a rational number?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is a rational number always a real number?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


Is rational number always a real number?

Yes. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.