Question

Find the smallest number which must be subtracted from the given numbers to make them perfect square. a 36820

Answer 1

339 must be subtracted from 36820 to get a perfect square

Answer 2

Answer:

The smallest number which must be subtracted from 36820 to get a perfect square = 339

Step-by-step explanation:

To find,

The smallest number which must be subtracted from 36820 to get a perfect square

Solution:

To find the square root by long division method

                           

                                 1 91            

                             1  |36820

                                |1              

                           29|268

                                |261        

                        381  |     720

                                |     381    

                                |     339

The remainder here is 339, hence the smallest number to be subtracted from 36820 to get a perfect square  is 339

The perfect square we get from subtracting 339 from 36820 is 36481

and 36481 = 191²

The smallest number which must be subtracted from 36820 to get a perfect square = 339

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