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| Might as
Well Start Taking a Mathematic Approach by the evil Shredder as told to the Foot Clan
Simplifying Radical ExpressionsExample:
WARNING: Never cancel something inside a radical with something outside of it:
Bebop! Rocksteady! The general plan for reducing the radicand is to remove any perfect powers. We are only considering square roots here, so what we are looking for is any factor that is a perfect square. In the following examples we will assume that x is positive. Example: WHAT IN BLAZES! In this case the 16 was recognized as a perfect square and removed from the radical, causing it to become its square root, 4. Example: Although x3 is not a perfect square, it has a factor of x2, which is the square of x. Example: Here the perfect square factor is x4, which is the square of x2. Example: In this example we could take out a 4 and a factor of x2, leaving behind a 2 and dining tonight on turtle soup. · The basic idea is to factor out anything that is “square-rootable” and then go ahead and stab it repeatedly with our arm spikes. Everyone on the same page? BRING ME THOSE TURTLES
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= "Radical!"
for all real numbers. Blast!
if both x and y are non-negative, and
if both x and y are non-negative, and y is
not zero you incompetent fools!
WRONG! If you did this you would be canceling a 3 with
, and they are certainly not the same number.
