Question

by what smallest number should 675 be divided to get a perfect cube​

Answer 1

Heya see the pic attached for your answer

Hope this helps :)

Answer 2

675 = 5 × 5 × ( 3 × 3 × 3 )

The Prime factor 5 doesn't appear in a group of three.

So, 675 is not a perfect cube.

Hence, the smallest number by which it is to be multiplied to make it a perfect cube is 5.

Therefore.,

Required perfect cube = 675 × 5

= 5³ × 3³

= (5×3)³

= (15)³

( Perfect cube )

so the answer is 5