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# What least number must be added to 81180 to make it a perfect square?

**Given :**

The given number is 81180.

**To do :**

We have to find the least number to be added to 81180 to make it a perfect square.

**Solution :**

To find the least number to be added to 81180 to make it a perfect square can be found out by using the long division method.

284 | |

2 2 | 81180 4 |

48 8 | 411 384 |

564 4 | 2780 2256 |

524 | |

Therefore, $(284)^2 =81180$

The next perfect square number is $285^2 = 81225$$(285{)}^{2}=81225.$

$$

Therefore, the number to be added is $81225-81180=45$.

**Therefore, the number to be added to 81180 to make it a perfect square is 45.**

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