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Sum

Find the least number which must be added to 5483 so that the resulting number is a perfect square.

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#### Solution

Clearly, 5483 is greater than 74^{2}

74 | |

9 | 5483 49 |

144 | 583 576 |

7 |

∴ On adding the required number to 5483, we shall be getting 75^{2} i.e. 5625.

Hence, the required number = 5625 - 5483

= 142

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