Square-free integer

Use Prime Factorization to Simplify the Square Root of a Number, sqrt(32)

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist How to Simplify the Square Root of a Number

Simplifying the Square Root of a Number Using a Factor Tree, Sqrt(80)

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist How to Simplify the Square Root of a Number

How to Simplify the Square Root of an Integer, Root(36)

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist How to Simplify the Square Root of a Number

How to take the square root of three different types of numbers, root(4), root(18)

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist How to Simplify the Square Root of a Number

Explain how to take the root of a number even or odd using prime factorization, root

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist How to Simplify the Square Root of a Number

How to take the square root of a number using prime factorization, sqrt(64)

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist How to Simplify the Square Root of a Number

Introduction to Square Roots

This video introduces perfect squares and square roots. http://mathispower4u.yolasite.com/

From playlist Radicals

Simplify the Square Root of an Integer, Root(32)

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist How to Simplify the Square Root of a Number

Algebraic Proofs (involving integers)

"Use algebraic techniques to prove a statement in the general case."

From playlist Algebra: Proof

How often does a polynomial take squarefree values? by Manjul Bhargava

ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha

From playlist ICTS at Ten

[ANT13] Dedekind domains, integral closure, discriminants... and some other loose ends

In this video, we see an example of how badly this theory can fail in a non-Dedekind domain, and so - regrettably - we finally break our vow of not learning what a Dedekind domain is.

From playlist [ANT] An unorthodox introduction to algebraic number theory

CTNT 2020 - Sieves (by Brandon Alberts) - Lecture 2

The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2020 - Sieves (by Brandon Alberts)

Additive number theory: Extremal problems and the combinatorics of sum. (Lecture 4) by M. Nathanson

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

Simplifying the Square Root of an Integer, Root(36)

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist How to Simplify the Square Root of a Number

Apollonian packings and the quintessential thin group - Elena Fuchs

Speaker: Elena Fuchs (UIUC) Title: Apollonian packings and the quintessential thin group Abstract: In this talk we introduce the Apollonian group, sometimes coined the “quintessential” thin group, which is the underlying symmetry group of Apollonian circle packings. We review some of the e

From playlist My Collaborators

Visual Group Theory: Lecture 7.5: Euclidean domains and algebraic integers

Visual Group Theory: Lecture 7.5: Euclidean domains and algebraic integers. Around 300 BC, the Greek mathematician Euclid found an algorithm to compute the greatest common divisor (gcd) of two numbers. Loosely speaking, a Euclidean domain is a commutative ring for which this algorihm stil

From playlist Visual Group Theory

CTNT 2022 - Wieferich Primes (by Keith Conrad)

This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/

From playlist CTNT 2022 - Conference lectures and special guest lectures

Digression: THH of the integers (corrected)

In this video, we explain how to compute THH of the integers. In order to do this we compute it first relative to the element p and then use a spectral sequence to deduce the final result. This is a corrected version of the old video, in which I got the Hasse-squares at 13:10 and 24:20 w

From playlist Topological Cyclic Homology

Learn how to simplify square root of a number when it is multiplied by another number

👉 Learn how to find the square root of a number. To find the square root of a number, we identify whether that number which we want to find its square root is a perfect square. This is done by identifying a number which when raised to the 2nd power gives the number which we want to find it

From playlist Simplify the Square Root Expressions

Elliptic Curves - Lecture 24a - Torsion points (Nagell-Lutz theorem)

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves