the number 87120 is not a perfect square. find the smallest number by which it should be multiplied to make it a perfect square. alsofind the number which should be added to make it a perfect square.

87120 = (2x2) (2x2) (3x3) (11x11) x5

Hence,** the smallest number by which 87120 should be multiplied to get a perfect square is 5**.

| 2 9 5 |

2 | |

49 | |

585 | 3 0 2 0 2 9 2 5 |

| 95 |

So, the quotient is 295 and remainder is 95. Thus, it is evident that

295^{2} < 87120 < 296^{2}

296^{2} = 87616

295^{2}=87025

87616-87025=591

Thus, **591 must be added to 87120** to get a perfect square.

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