Question

Find the smallest number which when multiplied by 3600 gives the product a perfect cube

Answer 1

Hi Friend !!!

Here is ur answer !!!

3600 = 3×3×2×2×2×2×5×5

= 3²×2³×5²×2

So the number required = 2²×3×5

= 4×15

= 60

Hope it helps u : )

Answer 2

Hii. ......friend,


the answer is here,

$= > \: 3600 = {3}^{2} \times {2}^{3} \times {5}^{2} \times 2$

So, The least number that should be multiplied to 3600 to make it perfect cube is .

$= > \: 3 \times {2}^{2} \times 5$

$= > \: 15 \times 4$

=> 60.


:-)Hope it helps u.