Irrational Numbers: Examples & Non-Examples Explained

High School
Algebra
Algebra I
Irrational numbers

How much is $\frac{1}{5}$ in decimal and percent form?

zweifelndcuv 2022-11-23

The set of all irrational numbers say $A$ ,in open interval $(0, 1)$ is equivalent to $R$ ?

BenguelaktR 2022-11-22

Should the set of irrational numbers be divided into further subsets?

atgnybo4fq 2022-11-22

Prove that square root of 6 is irrational by contradiction .

apopiw83 2022-11-21

Does the presence of irrational numbers pose any problems for the concepts of limits and continuity?

Emma Hobbs 2022-11-21

We have a square tile which measures $1$ metre by $1$ metre, by the Pythagorean identity the diagonal from one corner to another will be $\sqrt{2}$ metres. However $\sqrt{2}$ is an irrational number, could someone explain how it is possible for a non-terminating and non repeating number to represent a finite length in reality?

Aleah Avery 2022-11-21

Using a specific Lemma, how to prove that between any two distinct rational numbers there exists an irrational number?
Lemma: If $m / n$ and $r / s$ are rational, with $r / s \neq 0$ , then $r / s \neq 0$ is irrational.

Messiah Sutton 2022-11-21

How can define irrational numbers in general

mxty42ued 2022-11-20

Is it possible to intuitively explain, how the three irrational numbers $e, i$ and $π$ are related?

Kaylynn Cook 2022-11-20

Given an irrational number $x \in R ∖ Q$ , is it possible to find a map $T : N \to N$ strictly increasing such that ${T (n) x} \to 0$ as $n \to \infty$ , where ${\cdot}$ is the fractional part?

Aden Lambert 2022-11-20

Prove or disprove: For all positive integers $n$ , $\sqrt[3]{n} + \sqrt[3]{n + 1}$ are irrational numbers.

Audrey Arnold 2022-11-20

Sum of $2$ irrational numbers, rational or irrational, more?

perlejatyh8 2022-11-19

A rational number that is a infinite product of distinct irrational numbers?

Owen Mathis 2022-11-18

Consider $x$ a rational number. Let $ϵ \geq 0$ be the minimal value such that x+ϵ is irrational, and let also $γ > 0$ be the minimal value such that $x + γ$ is rational. How to compute $γ / ϵ$ ?

Zackary Diaz 2022-11-18

Determine the irrational numbers $x$ such that both $x$ and $x^{3} - 6 x$ are rational numbers

Hallie Stanton 2022-11-18

Is there a method for finding two irrational numbers that multiply together to form a rational number

nyle2k8431 2022-11-18

Prove:
$\sqrt{7 + 2 \sqrt{10}} = \sqrt{2} + \sqrt{5}$

Elliana Molina 2022-11-18

Let $x_{1}, \dots, x_{n}$ be positive rational numbers. If $\sqrt[l_{1}]{x_{1}}, \dots, \sqrt[l_{n}]{x_{n}}$ are all irrational numbers (where $l_{1}, l_{2}, \dots, l_{n} \in N^{*}$ ), does it follow that
$\sqrt[l_{1}]{x_{1}} + \dots + \sqrt[l_{n}]{x_{n}}$
is an irrational number, too?

ajakanvao 2022-11-18

Show that the set of irrational numbers is dense in $R$ using definition of Closure

dannigurl21ck2 2022-11-18

Is the amount of irrationals numbers in between consecutive integers always the same? is this amount infinite?

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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