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# Module 13

### Simplifying, Adding, Subtracting, and Multiplying Radical Expressions

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

sqrt(2) * sqrt(5) | sqrt(10) |

cuberoot(4) * cuberoot(3x) | cuberoot(12x) |

sqrt( 6 / 49 ) | sqrt(6) / 7 |

5throot ( 625 / x^10) | 5throot(625) / x^2 |

cuberoot(1250) | 5 * cuberoot(10) |

sqrt(49 x^9 y^5) | 7 x^4 y^2 sqrt( xy ) |

sqrt(21) / sqrt(7) | sqrt(3) |

sqrt(x^11 * y^43) / sqrt( x * y ) | x^10 * y^21 |

5 sqrt(75) - 2 sqrt(50) + sqrt(12) | 27 sqrt(3) - 10 sqrt(2) |

sqrt(16 b^3) + sqrt(4 b^3) - sqrt(25 b^3) | b*sqrt(b) |

(7sqrt[5])/2 - (sqrt[125])/2 | (2sqrt[5])/2 |

cuberoot(24/27) - (cuberoot[24]/5) | (4cuberoot[3])/15 |

sqrt[2](sqrt[2] + x*sqrt[10]) | 2 + 2x*sqrt[5] |

(sqrt[5] + x)^2 | 5 + 2x*sqrt[5] + x^2 |

(sqrt[x-3] +9)^2 | x + 78 + 18*sqrt(x-3) |

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