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# M13

### Module 13

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

sqrt(5)*sqrt(2) | sqrt(10). Combine terms in square root then multiply numbers together. |

sqrt(2)*sqrt(10x) | sqrt(20x). Use product rule to multiply the radicals 2 and 10x. Combine together. |

sqrt(7/81) | sqrt(7)/9. Apply quotient rule, suaring bottom and top, top cannot be simplified so it stays square root of 7 and bottom is simplified into 9. (square root of 81 is 9) |

sqrt(27) | 3sqrt(3). Factor using largest perfect square. Separate into two radical expressions. Simplify each racical expression. |

cubed root of 56 | 2 times the cubed root of 7. Factor into largest cubed root. Remove cubed root from under racdical. Simplify. |

3sqrt(27) | 9sqrt(3). Use product rule. Factor inside of radical. Pull out the square root. Multiply it to the outside. simplify inside of radical if need be. |

sqrt(54) | 3sqrt(6). Product rule. Break up 56 into sqrt of 9 and sqrt of 3. Pull out perfect square. |

sqrt(121x^3) | 11x^2 sqrt(x). Produt rule for radicals. Rewrite as product whose factor is the largest perfect square factor. (sqrt121x^2)*sqrt(x). Simplify |

4th root of x^8y^7 | x^2y to the 4th root of y^3. Find largest 4th root(largest is x^2y^4). Apply product rule for radicals. Simplify. |

6th root of 125/x^12 | (6th root(125))/(x^2). Use quotient rule. NUmerator cannot be simplified so simplify the denomintaor. |

Created by:
dee13rose