Question

What I'd the smallest number by which 1125 may be multiplied. So that the product is a perfect cube?

Answer 1

Solution

now... factorising 1125

1125=3×3×5×5×5

now ..

if we take the cube root of it then..

$\sqrt[3]{1125} = \sqrt[3]{3 \times 3 \times 5 \times 5 \times 5} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5 \sqrt[3]{3 \times 3}$

i.e.,,1125 should be multiplied with 3 so that it becomes a perfect cube .....

•••Hope this helps u.....••

Answer 2

hey dude first factories 1125

=3×3×5×5×5

it means the no.will be a perfect cube if multipled by by

so.1125 must be multipled by 3