Multiplicative functions

Radical of an integer

In number theory, the radical of a positive integer n is defined as the product of the distinct prime numbers dividing n. Each prime factor of n occurs exactly once as a factor of this product: The radical plays a central role in the statement of the abc conjecture. (Wikipedia).

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Simplifying a radical expression to rational exponents

👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p

From playlist Numbers Raised to Fractional Exponents

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How to write a radical into a term with rational exponents

👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p

From playlist Numbers Raised to Fractional Exponents

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Converting a radical expression to a exponent with a rational power root

👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p

From playlist Numbers Raised to Fractional Exponents

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Using parenthesis to help convert a rational expression from radical form

👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p

From playlist Numbers Raised to Fractional Exponents

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Multiplying two radical expressions together then simplifying your answer

👉 Learn how to multiply radical expressions. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radicand. To be able to multiply two or more radicals,

From playlist How to multiply square roots with variables

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How to rewrite an expression from a radical to a rational exponent root

👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p

From playlist Numbers Raised to Fractional Exponents

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How to rewrite the 4th root of a variable with a rational exponent

👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p

From playlist Numbers Raised to Fractional Exponents

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Learning how to rewrite an expression from radical form to a rational power

👉 Learn how to convert a radical to rational power. A radical is an expression having the root/radical symbol. The number outside the radical symbol (nth root) is called the index, the number/expression inside the radical symbol is called the radical. To convert a radical to a rational p

From playlist Numbers Raised to Fractional Exponents

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How to Multiply Two Radical Expressions and Then Multiply

👉 Learn how to multiply radicals. A radical is an expression or a number under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the roots retaining the same root, and then simplify the resu

From playlist Mulitply Square Root Expressions

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Algebraic Structures: Groups, Rings, and Fields

This video covers the definitions for some basic algebraic structures, including groups and rings. I give examples of each and discuss how to verify the properties for each type of structure.

From playlist Abstract Algebra

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Discrete Math - 1.7.3 Proof by Contradiction

Exploring a method of proof known as contradiction where we assume p and not q, then work to show either if p then q or if not q then not p. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz

From playlist Discrete Math I (Entire Course)

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Nonlinear algebra, Lecture 12: "Primary Decomposition ", by Mateusz Michalek and Bernd Sturmfels

This is the twelth lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.

From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra

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The ABC Conjecture, Brian Conrad (Stanford) [2013]

slides for this talk: https://drive.google.com/file/d/1J04zXCQYgn9MdgDUo63rH719cruiQJVo/view?usp=sharing The ABC Conjecture Brian Conrad [Stanford University] Stony Brook Mathematics Colloquium Video September 12, 2013 http://www.math.stonybrook.edu/Videos/Colloquium/video_slides.php?

From playlist Number Theory

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Undergraduate math talk: The abc conjecture

This mathematics talk is an introduction to the abc conjecture. The talk explains what the abc conjecture is, gives a proof of an analog for polynomials, and finishes with some comments on the proof for integers.

From playlist Math talks

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Visual Group Theory, Lecture 6.3: Polynomials and irreducibility

Visual Group Theory, Lecture 6.3: Polynomials and irreducibility A complex number is algebraic over Q (the rationals) if it is the root of a polynomial with rational coefficients. It is clear that every number that can be written with arithmetic and radicals is rational. Galois' big achie

From playlist Visual Group Theory

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An introduction to the abc conjecture - Héctor Pastén Vásquez

Members’ Seminar Topic: An introduction to the abc conjecture Speaker: Héctor Pastén Vásquez Date: Monday, March 21 In this talk I will discuss some classical and new applications of the abc conjecture, its relation to conjectures about elliptic curves, and some (admittedly weak) uncon

From playlist Mathematics

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Discrete Math - 4.3.1 Prime Numbers and Their Properties

An introduction to prime numbers and the Fundamental Theorem of Arithmetic. Trial Division and the Sieve of Eratosthenes are also covered. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz

From playlist Discrete Math I (Entire Course)

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Math Tutorial for Multiplying Two Radical Expressions to the Fourth Root Together

👉 Learn how to multiply radicals. A radical is a number or an expression under the root symbol. To multiply radicals with the same root, it is usually easy to evaluate the product by multiplying the numbers or expressions inside the roots retaining the same root and then simplify the resul

From playlist How to multiply Radicals Expressions

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Wacky Calc Wednesdays: A Very Nested Integral

Two new series in just a few days? Unheard of! This one shall center around answering preposterous calculus questions. In this particular video, we will be investigating the antiderivative of a strange infinite-nested radical, which I found on r/calculus on Reddit. I just had to share

From playlist Wacky Calc Wednesdays

Related pages

Square-free integer | Prime number | Nilpotent | Completely multiplicative function | Multiplicative function | Integer | Abc conjecture | Finite ring | Number theory