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Irrational Numbers
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. While their existence was once kept secret from the public for philosophical reasons, they are now well accepted, yet still surprisingly hard to prove on an individual basis. Please post all questions about irrational numbers, including the famous examples of π, e, and √2, into this category.
3,962 Questions
Show that set R of real numbers is a group with respect to multiplication?
Closure: If x and y are any two elements of Rthen x*y is an element of R.
Associativity: For and x, y and z in R, x*(y*z) = (x*y)*z and so, without ambiguity, this may be written as x*y*z.
Identity element: There exists an element 1, in R, such that for every element x in R, 1*x = x*1 = x.
Inverse element: For every x in R, there exists an element y in R such that x*y = y*x = 1. y is called the inverse of x and is denoted by x^-1.
The above 4 properties determine a group.
Is .786666666666... rational or irrational?
Assuming that the notation "666..." represents the number with infinitely many 6s, the number is rational.
Just dial number 911 on your telephone to reach an emergency operator. The emergency operator will connect you to the police, the fire department, or whatever you need. However, 911 doesn't work everywhere, the numbers can vary depending on where you live. The best way to get in touch with someone in an emergency is just dial "0" for an operator. It is best not to fake a 911 call, because it is an emergency line and if one pulls a prank call, one can receive an expensive ticket.
Is -5 and two thirds an irrational number?
No. It's the ratio of -17 and 3 ... a perfectly rational number.
Is the square root of -16 irrational?
No, the square root is 4 so that means it is rational because it can be turned into a fraction!
What indicates that the roots of a quadratic are irrational?
In the quadratic equation, b^2 - 4ac < 0.
Is -81 is rational or irrational?
81*81 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Is every real number either a rational number or a irrational number?
Yes. A real number is any comprehendable number, from negative infinity to positive infinity. A rational number is any number that can be the answer to a division equation; an integer, fraction, or a decimal. An irrational number is any number that cannot be expressed as a fraction; such as exponents.
Is an ongoing decimal a rational no. or irrational noex. 2.586.....?
If the decimal is rational if it continues in a pattern. ex 2.586586586586586....
It is irrational if it continues forever without a pattern. ex 2.586943732434006843...
What is the examples of radical numbers?
Here are a few examples of radical no.
sqrt 64 = sqrt (8^2) = 8
sqrt 69 = there's no easy way to do this by hand because there are no perfect squares that are factors of 69. So, either you leave it as "sqrt 69" or you use a calculator to figure it out.
sqrt 128
= sqrt (64*2)
= sqrt (8^2 * 2)
= sqrt 8^2 * sqrt 2
= 8 sqrt 2
That's as far as you can simplify that one by hand. If you need an actual number, you have to calculate sqrt 2 using a calculator, then multiply it by 8. Hope I help you :)
Can you give me some examples of an 3x3 magic square and we can only use numbers 11-19?
[ 18 ] [ 11 ] [ 16 ]
[ 13 ] [ 15 ] [ 17 ]
[ 14 ] [ 19 ] [ 12 ]
No.
3 = 3/1 which is of the form a/b (with a & b integers) which is a rational number
