is 9720 a is a perfect cube if not find the smallest number by which it should be multiple to make it a perfect cube
Answers
Answer:
9720 is not a perfect cube.
30 is the smallest number which when multiplied with 9720 will make it a perfect cube.
Step-by-step explanation:
To find whether 9720 is a perfect square or not break it down as a product of its prime factors.
9720= 2×2×2×3×3×3×3×3×5
By grouping these factors inpairs, we see that one 5 and two 3 are left unpaired.
We want 3 in a pair for cube.
So the smallest number by which 9720 should be multiplied to make it a perfect square is =3×3×5=45
Brainliest please
Answer:
No
75
Step-by-step explanation:
9720 = 2×2×2×3×3×3×3×3×5
Since all numbers are not in pairs of 3, 9720 is not a perfect cube
We must multiply 9720 by 3×5×5 so that all numbers are in pairs of three
Therefore, 75 is the smallest number by which 9720 must be multiplied so that it becomes a perfect cube