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Two irrational numbers between 1 and 2?

Updated: 4/28/2022
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sqrt(2), sqrt(3)

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Q: Two irrational numbers between 1 and 2?
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Continue Learning about Calculus

What are two irrational numbers whose product is rational?

Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1


Is the square root of -4 irrational?

The square root of -4 is not irrational, it is imaginary. Irrational numbers are numbers that cannot be expressed as a fraction, like the square root of 2. Irrational numbers, however, are a subset of real numbers. The square root of -4 however, is not even a real number because no real number, when squared, gives -4. Therefore the square root of -4 is an imaginary number.In calculus, the root is expressed as 2i where iis the square root of -1.


Are the square roots of all positive integers are irrational?

It might seems like it, but actually no. Proof: sqrt(0) = 0 (0 is an integer, not a irrational number) sqrt(1) = 1 (1 is an integer, not irrational) sqrt(2) = irrational sqrt(3) = irrational sqrt(4) = 2 (integer) As you can see, there are more than 1 square root of a positive integer that yields an integer, not a irrational. While most of the sqrts give irrational numbers as answers, perfect squares will always give you an integer result. Note: 0 is not a positive integer. 0 is neither positive nor negative.


Is .85 billion an irrational number?

No. It is 850000000, which is an integer. An irrational number is one that cannot be expressed as p/q, with p and q integers. 850000000=850000000/1, so it is not irrational.


What is called an irrational decimal?

An irrational number is a real number which can not be expressed in rational form, i.e. in form of a common fraction. If written in decimal form, an irrational number will contain an infinite number of decimal positions without any periodic repetition. Common examples of irrational numbers are Pi (3.14159...), e (2.71828...) and any non perfect root as for example, the square root of 2 (1.41421...), the square root of 7 (2.64575...), and so on. Any real number which does not fall into the the irrational number subset, must be a rational number. The rational number thus are real numbers which can be expressed in rational form, this means as the division of two integers (remembering that you can not divide into o). A rational number written in decimal form either will have a finite number of decimal positions or an infinite numbers with a periodic repetition. For example, 0.5 is a rational number because it can be written as (1/2). Another example is 1.5 which can be written as (3/2). Any integer is a rational number because it can be written as the integer divided by 1 or by any other integer, for instance, 8 = (8/1) = (16/2) = (32/4) and so on. Example of infinite periodic decimals are for instance (1/3) = 0.3333...., (4/9) = 0.4444..., (168/999) = 0.168168168...

Related questions

Two irrational number between 0 and 1?

Two irrational numbers between 0 and 1 could be 1/sqrt(2), �/6 and many more.


Is 1/5 irrational number?

No. Irrational numbers can not be expressed as a ratio between two integers.


How many irrational nurmbers are there between 1 and 6?

There are infinite irrational numbers between 1 and 6.


How many irrational numbers are between 1 and 10?

Infinitely many. In fact there are more irrational numbers between 1 and 10 than there are rational numbers - in total!


How do you find irrational numbers between 0 and 1?

the numbers between 0 and 1 is 0.1,0.2,0.3,0.4,0.5,0.6,0.7,0.8,0.9,0.10.


What are the irrational numbers from 1 to 100.?

An irrational number is a number that cannot be expressed as a ratio, a fraction. There are an infinite amount of numbers between 1 - 100 that are irrational.


How many rational numbers are between 1 and 101?

Infinitely many. In fact, between any two different real numbers, there are infinitely many rational numbers, and infinitely many irrational numbers. (More precisely, beth-zero rational numbers, and beth-one irrational numbers - that is, there are more irrational numbers than rational numbers in any such interval.)


When you divide two irrational numbers is it always irrational?

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


How many irrational numbers are there between 1 and 2?

Infinitely many. In fact, there are more irrational numbers between 1 and 2 as there are rational numbers - in total. The cardinality of this set is Aleph-0ne.


Is the sum of two POSITIVE irrational numbers ALWAYS irrational?

No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.


What are two irrational numbers whose product is rational?

Make the two irrational numbers reciprocals of each other. Ex.) 1/pi x pi = 1


It is always possible to translate among an equation a table of values and a graph of a relation?

No.Try to created a table or a graph for the equation:y = 0 when x is rational,andy = 1 when x is irrational for 0 < x < 1.Remember, between any two rational numbers (no matter how close), there are infinitely many irrational numbers, and between any two irrational numbers (no matter how close), there are infinitely many rational numbers.