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# complex numbers

### solving equations with complex numbers

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

the letter used to denote a complex number | i |

i^2 = | -1 |

The square root of -64 | 8i |

The square root of -1 | i |

The square root of -20 | 2i x the square root of 5 |

(4+2i) + (6+3i) | 10+5i |

(4+2i)(6+3i) | Use the FOIL method to multiply: 24+24i+6i^2=24+24i-6, then simplify: =18+24i |

7 multiplied by the square root of -28 | break down the square root of -28 to: the square root of -1 times the square root of 4, times the square root of 7. then simplify and solve: 7 times i, times 2, times the square root of 7 = 14i times the square root of 7 |

square root of -56 divided by the square root of -7 | square root of 8, which is broken down to: the square root of 4 times the square root of 2, then simplified to: 2 times the square root of 2 |

4i multiplied by 3i | 12i^2, simplified to: 12(-1), then simplified to -12 |

Created by:
lnelson25