Proof that sum of rational and irrational is irrational | Algebra I | Khan Academy

Channel:
Subscribers:
8,980,000
Published on ● Video Link: https://www.youtube.com/watch?v=pPM72fPwIjw



Duration: 3:24
158,925 views
609


Watch the next lesson: https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/recognizing-rational-and-irrational-expressions-example?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Missed the previous lesson?
https://www.khanacademy.org/math/algebra/rational-and-irrational-numbers/rational-and-irrational-expressions/v/proof-that-rational-times-irrational-is-irrational?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Algebra channel:
https://www.youtube.com/channel/UCYZrCV8PNENpJt36V0kd-4Q?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy




Other Videos By Khan Academy


2013-12-23How far can you see from a plane window
2013-12-23Constructing a geometric series for new users | Precalculus | Khan Academy
2013-12-23Introduction to rational and irrational numbers | Algebra I | Khan Academy
2013-12-23Proof that there is an irrational number between any two rational numbers | Algebra I | Khan Academy
2013-12-23Sum and product of rational numbers | Rational and irrational numbers | Algebra I | Khan Academy
2013-12-23Proof that square root of prime number is irrational | Algebra I | Khan Academy
2013-12-23Proof that square root of 2 is irrational | Algebra I | Khan Academy
2013-12-23Recognizing rational and irrational expressions example | Algebra I | Khan Academy
2013-12-23Approximating irrational number exercise example | Pre-Algebra | Khan Academy
2013-12-23Proof that rational times irrational is irrational | Algebra I | Khan Academy
2013-12-23Proof that sum of rational and irrational is irrational | Algebra I | Khan Academy
2013-12-19Matching radical functions with graphs exercise example | Algebra II | Khan Academy
2013-12-19Equations for radical functions example | Functions and their graphs | Algebra II | Khan Academ
2013-12-19Flipping and shifting radical functions | Functions and their graphs | Algebra II | Khan Academy
2013-12-19Absolute value graphing exercise example | Functions and their graphs | Algebra II | Khan Academy
2013-12-19Graphs of absolute value functions | Functions and their graphs | Algebra II | Khan Academy
2013-12-19Polynomial end behavior exercise example | Algebra II | Khan Academy
2013-12-18Another polynomial end behavior example | Algebra II | Khan Academy
2013-12-18Polynomial end behavior example | Polynomial and rational functions | Algebra II | Khan Academy
2013-12-18Polynomial end behavior | Polynomial and rational functions | Algebra II | Khan Academy
2013-12-18Using the Pythagorean trig identity | Trig identities and examples | Trigonometry | Khan Academy