Question

Find the smallest number by which he given number must be multiplied so that the

product between perfect cube.

a) 72 b) 675​

Answer 1

Answer:a) 3

Step-by-step explanation:

As 72 = 9 x 8

= 3² x 2³

Therefore, 3² should be multiplied by 3 to get a perfect cube.

So, the number will be 72 x 3 = 216 = 6³.

Answer 2

Answer:

a) as 72 is 2×2×2×2×2×3×3=2³×2²×3²

to make it a perfect cube we have to ensure all its numbers are cubes only so we have to multiply with 2×3 I.e, 6

so the final digit we get is 432

b) similarly 675= 5×5×3×3×3

so we multiply one more 5

so the final digit we get is 3375