Question

find the smallest number by which each of the following numbers must be multiplied to obtain a perfect cube a) 135 with explanation

Answer 1

Answer:

Grouping the prime factors of 135 into triples, we are left over with 5. i.e. 27 is a perfect cube. Thus, the required smallest number is 5. Grouping the prime factors of 192 into triples, 3 is left over.

Answer 2

Answer:

Step-by-step explanation:

135=3×3×3×5

To get a perfect cube we need two more 5.

So the least number to be multiplied is 5×5=25 (answer)