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# Math 113: Intermedia

Question | Answer |
---|---|

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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