Question

using the prime factorization method find which of the following are perfect square 51184
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Answer 1

Answer:

Given: The number 51984

To find: using the prime factorisation method find the number given is perfect square.

Solution:

Now the number given is 51984

By prime factorisation method , we have:

                   2 | 51984

                   2 | 25992

                   2 | 12996

                   2 | 6498

                   3 | 3249

                   3 | 1083

                 19 | 361

                 19 | 19

                      | 1

                51984 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 19

                √51984 = 2 x 2 x 3 x 19

                √51984 = 228

Answer:

             Yes, the given number is perfect square and square root if 51984 is 228.