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# Radical Expression

### Simplifying, adding, subtracting, and multiplying radical exrpessions

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

Simplify: sqrt5 * sqrt3 | Answer: sqrt15 Use the product rule for radicals to find the product |

Simplify: ^4sqrt64 * ^4Sqrt4 | Use the product rule to multiply Answer: 4 |

Simplify: ^3sqrt7 * ^3sqrt3 | Use the product rule to multiply Answer: ^3sqrt21 |

Simplify: sqrt5 * sqrtx | Answer: sqrt10x |

Simplify: Sqrt3/sqrt4 | Answer: sqrt3 divided by 2 |

Simplify: ^3sqrtx^3/^3sqrt27 | Answer: x/3 |

Simplify: ^4sqrt27/^4sqrt8 | Answer: ^4Sqrt27/x^2 |

Simplify: SqrtX^4Y/sqrt289 | Answer: X^2sqrtY/17 |

Simplify: Sqrt75 | Answer: 5sqrt3 |

Simplify: 3sqrt270 | Answer: 3^3sqt10 |

Simplify: 4sqrt80 | Answer: 16sqrt5 |

Simplify: sqrt50 | Answer: 5sqrt2 |

Subtract: sqrt125 - sqrt245 | Answer: -2sqrt5 |

Add: 4Sqrt2x^3 + 2xsqrt18x | Answer: 10xSqrt2x |

Add/Subtract: 3sqrt75 - 3sqrt50 + sqrt12 | Answer: 17sqrt3 - 15sqrt2 |

Subtract: ^3sqrt135x - ^3sqrt40x | Answer: 1^3sqrt5x |

Add/Subtract. Simplify: Sqrt36x^3 + Sqrt9x^3 - sqrt4x^3 | Answer: 7xsqrtx |

Add: 8sqrt3 divided by 5 + 4sqrt3 divided by 3 | Answer: 44/15 sqrt3 |

Question: Define RADICAND | Answer: a mathematical quantity from which a square root or higher root is to be extracted |

Question: Define LIKE RADICALS | Answer: Radicals with the same index and the same radicand are like radicals |

Multiply: Sqrt2(Sqrt6 - 3Sqrt2) | Answer: 2sqrt3 - 6 |

Question: What is the product rule for Radicals | Answer: IF ^nsqrtb are real numbers, then ^n sqrt a * ^n sqrt b = ^n sqrt ab |

Created by:
mandimiller0807