0
Add your answer:
Earn +20 pts
The difference between two different irrational numbers?
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
Is 3 a irrational number?
No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.
Which are the numbers of rational numbers?
There are an infinite number of rational numbers.Rational numbers are any number that can be expressed as a ration between 2 other numbers. 2 for example is a ratio of 2/1, 10000 = 10000/1, a half or 0.5 = 1/2 a third or 0.3333333333333reaccuring = 1/3 etc. Irrational numbers are those numbers than cannot be expressed no matter how hard we try to by dividing 2 numbers. Good examples of irrational numbers is square root of 2 (gives us 2 irrational numbers) and the ratio of a circles circumference to its diameter otherwise better known as pi (3.14159265etc,etc,etc). It is from this that we get the word irrational meaning beyond common sense.
What is an irrational number greater than 1 but less than 2?
The square root of 2 and the square root of 3 both qualify. Both of these are irrational and both are greater than 1 but less than 2. There are, of course, uncountably infinite different irrational numbers in the range between 1 and 2 and countably infinite rational numbers.
Different kinds of real numbers?
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,....
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.
Two irrational numbers between 1 and 2?
sqrt(2), sqrt(3)
Is the sum of two irrational numbers also an irrational number?
Not necessarily. 3+sqrt(2) and 3-sqrt(2) are both irrational numbers. Their sum is 6 - a rational.
What is between 3 and 4?
If it is integers, you have -2, -1, 0, 1, 2 and 3. If rational numbers or irrational numbers or real numbers, there are an infinity of them between -3 and 4.
What are four examples of irrational numbers?
Four examples of irrational numbers are 21/2, 31/2, 51/2 & 71/3
Is the product of three irrational numbers always an irrational number?
No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
The difference of two irrational numbers is an irrattinal number?
The sum, or difference, of two irrational numbers can be rational, or irrational. For example, if A = square root of 2 and B = square root of 3, both the sum and difference are irrational. If A = (1 + square root of 2), and B = square root of 2, then, while both are irrational, the difference (equal to 1) is rational.
The difference between two different irrational numbers?
The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
Is 3 a irrational number?
No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.
Which are the numbers of rational numbers?
There are an infinite number of rational numbers.Rational numbers are any number that can be expressed as a ration between 2 other numbers. 2 for example is a ratio of 2/1, 10000 = 10000/1, a half or 0.5 = 1/2 a third or 0.3333333333333reaccuring = 1/3 etc. Irrational numbers are those numbers than cannot be expressed no matter how hard we try to by dividing 2 numbers. Good examples of irrational numbers is square root of 2 (gives us 2 irrational numbers) and the ratio of a circles circumference to its diameter otherwise better known as pi (3.14159265etc,etc,etc). It is from this that we get the word irrational meaning beyond common sense.
Are real numbers rational numbers?
Some are and some aren't. 62 is real and rational. 1/3 is real and rational. sqrt(2) is real and irrational. (pi) is real and irrational.
Example of two irrational numbers the product of which is an irrational number?
sqrt(2)*sqrt(3) is an irrational product.
