3.
Find the smallest number by which 2400 is to be multiplied to get a perfect square and also
find the square root of t

1 thought on “3.<br />Find the smallest number by which 2400 is to be multiplied to get a perfect square and also<br />find the square root of t”

1. Answer:

   Solution:-

   Prime factorization of 2400

   2 |2400

   |_________

   2 |1200

   |_________

   2 | 600

   |_________

   2 | 300

   |_________

   2 | 150

   |_________

   3 | 75

   |_________

   5 | 25

   |_________

   5 | 5

   |_________

   | 1

   |

   2400 = 2*2*2*2*2*3*5*5

   There are one 2 and one 3 in the above which are without any pair.

   Therefore, the smallest number is 2*3 = 6, by which 2400 is to be multiplied to get a perfect square.

   Resulting number = 2400*6 = 14400

   Square root of 14400

   120

   ___________

   1 |14400

   |1

   |_____

   22 |044

   | 44

   |______

   | 000

   |______

   Hence, √14400 = 120

   Please brainlest me the answer

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