Irrational Numbers: Examples & Non-Examples Explained

High School
Algebra
Algebra I
Irrational numbers

Let $α, β$ be the linearly independent irrational numbers over $Q$ with $α > β > 0$ , and $A = {n α - m β ∣ n, m are nonnegative integers}$ ,m are nonnegative integers}
How to prove that $A$ is dense in $R$ ? Is it true?

Deborah Proctor 2022-10-28

Why is it true that all irrational numbers are non-terminating/non-repeating decimals?

ebendasqc 2022-10-27

$S = {x \in R ∖ Q : 0 \leq x \leq 1}$ . How would you prove if $S$ is closed or not. I know that there are infinitely many irrational numbers between $0$ and $1$ , and that $Q$ is dense in $R$ , but would that help?

Martin Hart 2022-10-22

Find the two square roots of 36i.

beefypy 2022-10-22

What is the square root of square root 2

Cristofer Watson 2022-10-16

Zeros can be irrational! Write all answers in simplest radical form.17.x^2-3=018.x^2-8=019.x^2+8=5620.x^2-16=5921.2x^2-126=022.8-3x^2=-22

Maribel Mcintyre 2022-10-16

Can this addition of radicals be simplified?
Square root 18 + Square root 72 - Square root 2

Baylee Atkinson 2022-08-31

Simplify the following square root
$\sqrt{80}$

lo3ramd 2022-08-28

What is the square root of 144?

Cecilia Tapia 2022-08-27

Use set builder notation to specify the following sets:
(a) The set of all integers greater than or equal to 5.
(b) The set of all even integers.
(c) The set of all positive rational numbers
(d) The set of all real numbers greater than 1 and less than 7.
*(e) The set of all real numbers whose square is greater than 10.

cieloeventosm4 2022-08-19

$\frac{\sqrt{27} - \sqrt{45} + \sqrt{63}}{\sqrt{3} - \sqrt{5} + \sqrt{7}}$

Jaxson Mack 2022-08-13

Evaluate the square root. $\sqrt{\frac{25}{144}}$

traucaderx7 2022-08-12

The square root of 49 is how much less than four squared

makeupwn 2022-08-12

$\frac{\sqrt{7} + \sqrt{3}}{\sqrt{7} - \sqrt{3}}$

Garrett Sheppard 2022-08-12

Find all the real fourth root of $- \frac{9}{16} and \frac{256}{2401}$

spainhour83lz 2022-08-07

Write the statement in the form 'if p, then q'
All whole numbers are rational.
Choose the statement that best rewrites the sentence in the specified form.
A. If a number is whole, then it is always rational.
B. If a number is whole, then it is never rational.
C. If a number is rational, then it is never whole.

imire37 2022-08-04

Prove that 1+sqrt(5) is irrational (not assuming sqrt(5) is irrational-you must prove this first)

spainhour83lz 2022-08-02

What is an irrational number that is not a real 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