0
an irrational number is any real number that cannot be expressed as a ratio a/b, where a and bare integers, with b nonzero, and is therefore not a rational number.
Informally, this means that an irrational number cannot be represented as a simple fraction. Irrational Numbers are those real numbers that cannot be represented as terminating or repeating decimals. As a consequence of Cantor's proof that the real numbers are uncountable (and the rationals countable) it follows that almost all real numbers are irrational.[1]
When the ratio of lengths of two line segments is irrational, the line segments are also described as being incommensurable By Paul Philip S. Panis
Add your answer:
Earn +20 pts
Can an irrational number be a decimal if so give an example?
Irrational numbers are decimal numbers that can't be expressed as fractions. An example is the square root of 2
Give an example of two irrational numbers whose product is not irrational?
(pi) x (1/pi) = 1
Can multiplying two irrational numbers give you an irrational number?
Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)
Define and give example of natural numbers?
Any positive integer not including 0. Also known as "counting numbers." 1,2,3,4,5,6,7,8,9,10,11...
Define statistical inference. Give one example of statistical inference?
Define statistical inference and give an example
Can an irrational number be a decimal if so give an example?
Irrational numbers are decimal numbers that can't be expressed as fractions. An example is the square root of 2
Give an example of two irrational numbers whose product is not irrational?
(pi) x (1/pi) = 1
Are irrational numbers closed under subtraction?
No, they are not. An irrational number subtracted from itself will give 0, which is rational.
Can the sum of two irrational numbers be rational if give an example if not explain why not?
1 + sqrt(2) is irrational 1 - sqrt(2) is irrational. Their sum is 2 = 2/1 which is rational.
Can multiplying two irrational numbers give you an irrational number?
Yes. For example, the square root of 3 (an irrational number) times the square root of 2(an irrational number) gets you the square root of 6(an irrational number)
Is the sum of two irrational number is always irrational?
No. For example, -root(2) + root(2) is zero, which is rational.Note that MOST calculations involving irrational numbers give you an irrational number, but there are a few exceptions.
What is rational and irrational number give example?
All integers and fractions are rational numbers whereas irrational numbers can't be expressed as fractions as for example the square root of 2 can't be expressed as a fraction because it is a non-terminating decimal number.
Define and give example of natural numbers?
Any positive integer not including 0. Also known as "counting numbers." 1,2,3,4,5,6,7,8,9,10,11...
Can you add an irrational number and a rational number to give an irrational?
No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.
Does an irrational number multiplied by an irrational number equal an irrational number?
The product of two irrational numbers may be rational or irrational. For example, sqrt(2) is irrational, and sqrt(2)*sqrt(2) = 2, a rational number. On the other hand, (2^(1/4)) * (2^(1/4)) = 2^(1/2) = sqrt(2), so here two irrational numbers multiply to give an irrational number.
Define statistical inference. Give one example of statistical inference?
Define statistical inference and give an example
Give the different kinds of real numbers?
Natural numbers or Counting numbers Integers Rational numbers Irrational numbers
