Math 113: Intermedia
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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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.
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| 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.
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| The ______ of a + b is a - b? | Conjugate
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| The process of writing an equivalent expression, but without a radical in the denominator is called _________? | rationalizing the denominator
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| The process of writing an equivalent expression, but without a radical in the numerator is called __________? | rationalizing the numerator
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| To rationalize the denominator of 9 / √4, we multiply by? | √4/√4.
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| We use power rule to? | Eliminate the radical.
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| Would a appropriate radical undo an exponent? | Yes.
Example: Cube root 2^3=2
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| Can the right power undo a root? | Yes
Example: Forth root 3^4=3
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| 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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