Question

find the smallest number by which 11979 must be multiplied so that the product is a perfect cube answer this and ill mark you brainlist

Answer 1

Answer:

The answers is option D,G,J,M

Factorizing the given number to its Prime Factors

⇒11979=11

3

×3

2

We can see if we multiply the number with 3 we will get 11

3

×3

3

, which makes a perfect cube.

Hence, the answer to the question is if we multiply 11979 with 3, we will get a perfect cube.

Answer 2

Answer:

HI MATE !

We have,

11979 = 3 × 3 × 11 × 11 × 11

REFER THE ABOVE PIC.

After grouping the prime factors in triplets, it’s seen that factors 3 × 3 are left without grouping in 3’s.

11979 = 3 × 3 × (11 × 11 × 11)

So, in order to complete in a group of 3’s, one more factor of 3 is needed.

Thus, the smallest number which should be multiplied to 11979 in order to make it a perfect cube is 3.

Hope my answer helps you.. ✌️

And please mark my answer as brainliest.. ✌️

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