Question

the least number by which 72 be multiplied to make it a perfect cube​

Answer 1

Answer:

3

Step-by-step explanation:

Answer 2

Step-by-step explanation:

We have 72 = 2 × 2 × 2 × 3 ×

Grouping the prime factors of 72 in triples, we are left over with 3 × 3.

∴ 72 is not a perfect cube

Now, [72] × 3 =[2 × 2 × 2 × 3 × 3] × 3

or 216 = 2 × 2 × 2 × 3 × 3 × 3

i.e. 216 is a perfect cube.

∴ The smallest number

required to multiply 72 to make it a perfect cube is 3.