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# Math 113: Intermedia

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Power Rule   If both sides of an equation are raised to the same power, all solutions of the original equation are among the solutions of the new equation.
Pythagorean Theorem   If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, then a^2+b^2=c^2.
The ______ of a + b is a - b?   Conjugate
The process of writing an equivalent expression, but without a radical in the denominator is called _________?   rationalizing the denominator
The process of writing an equivalent expression, but without a radical in the numerator is called __________?   rationalizing the numerator
To rationalize the denominator of 9 / √4, we multiply by?   √4/√4.
We use power rule to?   Eliminate the radical.
Would a appropriate radical undo an exponent?   Yes. Example: Cube root 2^3=2
Can the right power undo a root?   Yes Example: Forth root 3^4=3
True or False: x^(1/2) is the same a square root of x. (√x)   True and (x)^(1-3) is the same as cube root x (x)^(1/4) Is the same as forth root x So on and so on.

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