Question

By what no should 14400 be multiplied do that the quotient would be a perfect cube

Answer 1

❤❤❤hay.....❤❤❤
plzz... mark it as brainlist
✔✔✔✔✔✔✔✔✔
it is your answer ....
⚓⚓⚓⚓⚓⚓⚓⚓
here it is given......
no .. is 14400
so.....
prime factorisation of 14400
= 120×120

here we see..
120×120 is not prefect cube
so.....
if 120×120 is multiply by.. 120
then we get a prefect cube
so.... the lowest no.. is
120 answer..
➖➖➖➖➖➖➖➖➖➖➖➖

Answer 2

$\textbf {Hey there, here is the solution.}$

.............................................................................................

Find the prime factors of 14400:

14400 = 2⁶ x 3² x 5²

.

Find the number that is needed to make it in a perfect cube:

*To be a perfect cube, the exponents must be in the mulitples of 3.

Let k be the number you need to add.

14400 = 2⁶ x 3² x 5²

14400k = 2⁶ x 3³ x 5³

k = 3 x 5 = 15

.

Answer: The number is 15.

.............................................................................................

⭐$\textbf {Cheers }$⭐