Question

what is the smallest number by which 369 must be multiplied.so that the product is a perfect square​

Answer 1

Answer:

                               Here you go mate.....

Step-by-step explanation:

When we prime factorize 369 we get :

                                                               3 x 3 x 41  

As it is said that the product must be a perfect square we group the factors        into group of two:

                            ( 3 x 3 ) x 41

      There is no pair for 41 and so to make a pair we must multiply 41 to it.

             Answer :The smallest number that must be multiplied                                                                                        

                              with 369 to make perfect square is 41

After multiplying 41 to 369  we get 15129 which is a square of 123. Hence , our answer is correct.

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