Week 14 – Pre Calc 11 – Operations With Radical Expressions

This week in pre calc 11 we learned about radical expressions and equations and operations with said equations, learning things such as how to add subtract, multiply, divide, and simplify radicals.

For example a mistake I made was when i was adding two radicals together that had simplified to \frac {(x-3)(x-7)}{(x-6)(x-5)}+ \frac {(x-5)(x-6)}{(x+4)(x-3)} and i thought you could cancel out the (x-5) (x-6) and (x-3) and add the remainder but you actually cant add fractions if they dont have common denominators and cant cancel out random radicals if they arent part of the same fraction

 

this is an important distinguishment to make because multiplying radicals vs adding radicals are two very different things and you cant use the same rules for both

 

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