Math, asked by MrKlauzner, 11 months ago

EXAMPLE 28 Find the smallest number
which 2400 should be divided to make
perfect cube
a) 220 (0) 300 (0) 385 280

Pls Give the whole solution​

Answers

Answered by anjali3367
1

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

Answered by MoirangthemJohnson
0

300 is the smallest number.

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