What does it mean when X is rational?

What does it mean when X is rational?

A rational number is a number that can be expressed as a fraction where and are integers and. . A rational number is said to have numerator and denominator. . Numbers that are not rational are called irrational numbers.

What does it mean if x is irrational?

more A real number that can NOT be made by dividing two integers (an integer has no fractional part). “Irrational” means “no ratio”, so it isn’t a rational number.

What is irrational x rational?

If you multiply any irrational number by the rational number zero, the result will be zero, which is rational. Any other situation, however, of a rational times an irrational will be irrational. A better statement would be: “The product of a non-zero rational number and an irrational number is irrational.”

What makes a function a rational function?

Introduction. A rational function is one that can be written as a polynomial divided by a polynomial. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. f(x) = x / (x – 3). So the domain of f is the set of all numbers other than 3.

Is 2 irrational or irrational?

So it could not have been made by squaring a rational number! This means that the value that was squared to make 2 (ie the square root of 2) cannot be a rational number. In other words, the square root of 2 is irrational.

Is 1 x rational or irrational?

Strictly speaking the statement has undefined meaning (because “1/x is rational” has undefined meaning when x can be 0) rather than that it is false.

How do you prove irrational plus rational is irrational?

The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.

What makes a function irrational?

An irrational function is a function whose analytic expression has the independent variable under the root symbol. If the index of the root is a even, to be able to calculate images we need to be positive or zero, since the even roots of a negative number are not real numbers.

How do you tell if a function is a function?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Does 2 have an irrational square root?

Sal proves that the square root of 2 is an irrational number, i.e. it cannot be given as the ratio of two integers.

Is 2r irrational?

Specifically, the Greeks discovered that the diagonal of a square whose sides are 1 unit long has a diagonal whose length cannot be rational. By the Pythagorean Theorem, the length of the diagonal equals the square root of 2. So the square root of 2 is irrational!