In mathematics and more specifically in field theory, a radical extension of a field K is an extension of K that is obtained by adjoining a sequence of nth roots of elements. (Wikipedia).
Multiplying Two Radical Expression Together by Simplifying First
👉 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
Adding and subtracting a radical expression
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad
From playlist Add and Subtract Square Roots with Multiple Variables
Adding and subtracting a radical expression
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad
From playlist Add and Subtract Square Roots with Multiple Variables
Multiplying the Square Root of Two Radical Expressions
👉 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
Adding and Subtracting radical expressions
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad
From playlist Add and subtract square roots with variables
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad
From playlist Add and Subtract Square Roots with Multiple Variables
This lecture is part of an online graduate course on Galois theory. We discuss Abel's theorem, that says a general quintic equation cannot be solved by radicals. We do this by showing that if a polynomial can be solved by radicals over a field of characteristic 0 then its roots lie in a s
From playlist Galois theory
Simplify and add two radical expressions
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad
From playlist Add and subtract square roots with variables
Galois theory: Artin Schreier extensions
This lecture is part of an online graduate course on Galois theory. We describe the Galois extensions with Galois group cyclic of order p, where p is the characteristic of the field. We show that these are generated by the roots of Artin-Schreier polynomials. Minor correction: Srikanth
From playlist Galois theory
Pseudo-reductive groups by Brian Conrad
PROGRAM ZARISKI-DENSE SUBGROUPS AND NUMBER-THEORETIC TECHNIQUES IN LIE GROUPS AND GEOMETRY (ONLINE) ORGANIZERS: Gopal Prasad, Andrei Rapinchuk, B. Sury and Aleksy Tralle DATE: 30 July 2020 VENUE: Online Unfortunately, the program was cancelled due to the COVID-19 situation but it will
From playlist Zariski-dense Subgroups and Number-theoretic Techniques in Lie Groups and Geometry (Online)
Mathematics Gone Radical - Denesting Roots
Train your logical thinking skills by trying out Brilliant! =D https://brilliant.org/FlammableMaths What Part of Math Don't You Understand? Merch! :D https://teespring.com/what-part-of-math-don-t-you-u Engineering Watch: https://stemerch.com/products/the-incredibly-unrigorous-engineering-w
From playlist Number Theory
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
This lecture is part of an online course on Galois theory. This is an introductory lecture, giving an informal overview of Galois theory. We discuss some historical examples of problems that it was used to solve, such as the Abel-Ruffini theorem that degree 5 polynomials cannot in genera
From playlist Galois theory
Adding and subtracting radical terms
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad
From playlist Add and Subtract Square Roots with Multiple Variables
Sebastian Falkensteiner, Max Planck Institute for Mathematics in the Sciences
March 10, Sebastian Falkensteiner, Max Planck Institute for Mathematics in the Sciences Transforming radical differential equations into algebraic differential equations
From playlist Spring 2023 Online Kolchin Seminar in Differential Algebra
Solving difference equations in sequences It is known that a finite system of algebraic difference equations has a solution in the ring of sequences if and only if the difference ideal it generates contains 1. Moreover, there exists an algorithm that determines whether or not 1 lies in th
From playlist DART X
Alexander HULPKE - Computational group theory, cohomology of groups and topological methods 5
The lecture series will give an introduction to the computer algebra system GAP, focussing on calculations involving cohomology. We will describe the mathematics underlying the algorithms, and how to use them within GAP. Alexander Hulpke's lectures will being with some general computation
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
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
Learn how to add two radical expressions together
👉 Learn how to add or subtract radicals. A radical is a number or an expression under the root symbol. Radicals can only be added or subtracted if the numbers or expressions under the roots are the same for all terms. To add or subtract radicals, we reduce/simplify the radicals and then ad
From playlist Add and subtract square roots with variables
Francis Brown - 4/4 Mixed Modular Motives and Modular Forms for SL_2 (\Z)
In the `Esquisse d'un programme', Grothendieck proposed studying the action of the absolute Galois group upon the system of profinite fundamental groups of moduli spaces of curves of genus g with n marked points. Around 1990, Ihara, Drinfeld and Deligne independently initiated the study of
From playlist Francis Brown - Mixed Modular Motives and Modular Forms for SL_2 (\Z)