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
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
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
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
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
How to write a term with a rational exponent in radical form
👉 Learn how to convert a rational power to a radical. When the exponent of an expression is a fraction, we can evaluate/simplify the expression by converting the rational power into a radical where the denominator of the fractional exponent of the rational power becomes the index (nth root
From playlist Convert Fractional Exponents to Radicals
Converting a rational exponent to radical form
👉 Learn how to convert a rational power to a radical. When the exponent of an expression is a fraction, we can evaluate/simplify the expression by converting the rational power into a radical where the denominator of the fractional exponent of the rational power becomes the index (nth root
From playlist Convert Fractional Exponents to Radicals
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
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
Nonlinear algebra, Lecture 5: "Nullstellensätze ", by Bernd Sturmfels
This is the fifth lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences. Hilbert’s Nullstellensatz is a classical result from 1890, which offers a characterization of the set of all polynomials that vanish on a given v
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
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
Radicals of Ideals (and Geometry) - Feb 17, 2021 - Rings and Modules
We prove that the radical of an ideal is the intersection of primes containing it (I think). We also talk about the geometric meaning of the radical of an ideal.
From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
More Algebraic Geometry - Feb 15, 2021 - Rings and Modules
We explain the basic geometric concepts.
From playlist Course on Rings and Modules (Abstract Algebra 4) [Graduate Course]
algebraic geometry 8 strong nullstellensatz
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers the proof of the strong nullstellensatz using the Rabinowitsch trick, and gives some examples.
From playlist Algebraic geometry I: Varieties
Commutative algebra 31 (Nullstellensatz)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We describe the weak and strong Nullstellensatz, and give short proofs of them over the complex numbers using Rabinowitsch's
From playlist Commutative algebra
Commutative algebra 14 (Irreducible subsets of Spec R)
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. In this lecture we show that the irreducible closed subsets of Spec R are just the closures of points. We do this using the
From playlist Commutative algebra
Learn how to write an exponent with a rational power as a radical
👉 Learn how to convert a rational power to a radical. When the exponent of an expression is a fraction, we can evaluate/simplify the expression by converting the rational power into a radical where the denominator of the fractional exponent of the rational power becomes the index (nth root
From playlist Convert Fractional Exponents to Radicals