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Simplify the expression $\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{1-\sqrt{3x}-2}\right)$

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 Solution

 Videos

Algebra 2 - Learning to solve rational equations in math class ((x+3)/(x‐2)) + (5/(x^2‐4)) = 1

https://www.youtube.com/watch?v=y8p0Tpn3BcI

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Algebra 2 - Simplifying an expression with rational and negative exponents (x^(1/6) y^(1/3))^-18

https://www.youtube.com/watch?v=42cGdWlTRvc

Equations with rational expressions | Mathematics III | High School Math | Khan Academy

https://www.youtube.com/watch?v=McOMtxI_Jzs

Algebra 2 - Learn step by step how to simplify a complex fraction, (3/(x+1)) / (5/(x -1))

https://www.youtube.com/watch?v=uXVIkvfXzr8

Tutorial - Mulitplying rational expressions ex 24, (2x^2+5x+2)/(4x^2 - 1) × (2x^2+x-1)/(x^2+x-2)

https://www.youtube.com/watch?v=v48wMsNGC7I

 Main Topic: Simplification of algebraic expressions

The simplification of algebraic expressions consists in rewriting a long and complex expression in an equivalent, but much simpler expression. This simplification can be accomplished through the combined use of arithmetic and algebra rules.

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Simplification of algebraic expressions