Crush Algebra Simplification: Techniques for All Skill Levels

Crush Algebra Simplification: Techniques for All Skill Levels

In this comprehensive video tutorial, we're breaking down the complex world of algebraic expression simplification, making it accessible and understandable for everyone. Whether you're a student struggling with algebra or someone looking to refresh their math skills, this video is your ultimate guide. Join us as we demystify the art of simplifying algebraic expressions step-by-step. We'll cover essential techniques, tips, and tricks that will empower you to tackle even the most challenging equations with confidence. Algebra is for everyone, and by the end of this video, you'll be mastering simplification techniques like a pro!

Topics covered:
Algebra Challenge
Simplifying Algebraic Expressions
Componendo-dividendo property
How to simplify Expressions?
Math Olympiad
Algebra
Math Tricks
Algebraic identities
Algebraic manipulations
Math Skills
Ratio Techniques
Exponents
Properties of radicals
Radicals
Algebraic Challenging Equations and Expressions
Expression
Math Olympiad Preparation

Time-stamps:
0:00 Introduction
0:35 Radical properties
1:54 Componendo-dividendo method
5:34 Algebraic manipulations
7:30 Simplifying Expression
9:50 Answer

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Thanks for Watching !!
@infyGyan ​

[herbertklumpp]

Nice solution: I started with x =7 sqrt(3) - 3sqrt(7) I got
X + sqrt(28) = 7sqrt(3) -3sqrt( 7) and x- sqrt(28) = 7sqrt(3) - 5sqrt(7) and
( x + sqrt(28) / ( x - sqrt(28))=
-( 4 + sqrt(21)
In the same way we get for
(X+sqrt(12))/ ( x- sqrt(12))=
(9sqrt(3)-3sqrt7)/ (5sqrt(3)-3sqrt(7))= 6 + sqrt (21 )
- ( 4 + sqrt(21) + 6+ sqrt(21) = 2

[nopenope-rv]

This is wrong componendo-dividendo says if a:b = c:d then (a+b)/(a-b)=(c+d)/(c-d)! your formula is obviouly wrong let a=2 and b=3 then a/b=2/3 not equal -5!!

[alexanderbrinkley]

a/b does not equal (a+b)/(a-b).

The rule is:
if a/b = c/d,
then
(a+b)/(a-b) = (c+d)/(c-d).