Irrational Numbers: Examples & Non-Examples Explained

High School
Algebra
Algebra I
Irrational numbers

Prove that https://math.stackexchange.com/questions/2028881/prove-that-log-2-3-is-irrational is irrational

tapiat0wa4c 2022-06-03

Show there is a sequence of rational numbers converging to any irrational number.

Kaleigh Beasley 2022-06-03

Is it possible to find the closest rational number to an irrational number?

Paul Webster 2022-06-02

Is $(3 + \sqrt{2})^{2 / 3}$ an irrational number?

Paiellorbkzp 2022-06-01

Prove or disprove: For every irrational number $x$ , there exists an irrational number y such that $x^{y}$ is a rational number.

Andres Durham 2022-06-01

Prove that there exists an irrational number between any two real numbers a and b.

madridomot 2022-05-29

Is a non-zero integral multiple of an irrational number guaranteed to be irrational?

Hugo Brady 2022-05-29

For an irrational number
$x = \sum_{n \in Z} a_{n} 10^{n}$
Does $a_{n}$ takes all the numbers between $0$ and $9$ ?

Case Nixon 2022-05-29

If x is an irrational number such that $x^{2} - 2 x$ and $x^{3} - 5 x$ are rational numbers. What does $x^{3} - 5 x$ equals to?

herbariak1 2022-05-29

$a_{1}, a_{2}, . . . . . ., a_{n}$ are real numbers. Prove that there is a real number $k$ such that $a_{1} + k, a_{2} + k, \dots, a_{n} + k$ all are irrational.

tinydancer27br 2022-05-28

Sum and product of two irrational numbers is rational?

Riley Yates 2022-05-28

Let $[1; \bar{2, 1}$ be a continued fraction. Find the corresponding number.

hawwend8u 2022-05-28

Can you get any irrational number using square roots?

seiyakou2005n1 2022-05-28

Find an irrational number between $\sqrt{2}$ and $\sqrt{3}$ .

Emely Baldwin 2022-05-28

Proving either $x^{2}$ or $x^{3}$ is irrational if $x$ is irrational

Anthony Kramer 2022-05-28

Does every irrational number contain " $666$ " in its decimal expansion?

wanaopatays 2022-05-27

Can every real number be uniquely represented as a sum of a rational number and an irrational number $\in [0, 1)$ ?

Eliaszowyr1 2022-05-26

Is it not possible to construct a "more irrational" number by using $0$ ?
For example,
$ι = 1 + \frac{1}{0 + \frac{1}{1 + \frac{1}{0 + \frac{1}{1 + \dots}}}}$

katkoota00ys 2022-05-26

Does an irrational number $C$ exist such that $C \cdot \sqrt{2} \in Q$ , where $\sqrt{2} ∤ C$ ?

Isabela Sherman 2022-05-26

Is the number $0.1234567891011121314 \dots$ a rational or irrational number?

The use of irrational numbers is quite common for the Engineering disciplines where various irrational numbers equations are used to determine the rightfulness of some calculations or tasks that require prognosis. As a way to make things easier, you can take a look at the list of questions related to irrational numbers and receive immediate help as you look through the list of answers.

If you need additional assistance or feel unsure about your task, simply compare these examples with your task and proceed from there.

Algebra I

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