# Represent 4 with four identical digits using only the usual arithmetic operations, factorials and square roots

### Solution

1 + 1 + 1 + 1 | = 4 |

2×2 + 2 - 2 | = 4 |

√3×√3 + 3/3 | = 4 |

√4×√4 + 4 - 4 | = 4 |

5 - √5×√5/5 | = 4 |

6 - (6 + 6)/6 | = 4 |

77/7 - 7 | = 4 |

√√(8 + 8) + √√(8 + 8) | = 4 |

√√9×√√9 + 9/9 | = 4 |

0! + 0! + 0! + 0! | = 4 |

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