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Sum

For the following, find the least number that must be added so that the resulting number is a perfect square 55078.

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#### Solution

55078

234 | |

2 | 55078 4 |

43 | 150 129 |

464 | 2178 1856 |

322 |

Taking square root of 55078, we find that 322 has been left

We see that 55078 is greater than (234)^{2}

On adding the required number to 55078, we get (235)^{2} i.e., 55225

Required number = 55225 – 55078 = 147

Concept: To Find the Square Root of a Number Which is Not a Perfect Square (Using Division Method)

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