Question

find the smallest number by which 675 must be multiplied to obtain a perfect cube. Also, find the cube root of the cubic number thus obtained.

Answer 1

Answer:

5

Step-by-step explanation:

Grouping the prime factors of 675 to triples, we are left over with 5 × 5.

∴ 675 is not a perfect cube. Now, 3375 is a perfect cube.

Thus, the smallest required number to multiply 675 such that the new number perfect cube is 5.

Answer 2

Answer:

45

Step-by-step explanation:

Prime Factors = 5/5/3/3/3

So, Here 3 is not having a pair.

Then, We will multiply 675 by 3

We will obtain 2025

Therefore, 2025 is the cube of 45.

So the answer is 45