Which of the 9261 numbers are perfect
cubes? In case of perfect cube, find the number
whose cube is the given number.
Answers
Answered by
2
Answer:
A perfect cube can be expressed as a product of three same numbers
Now by resolving the given number into prime factors we get,
9261 = 3 × 3 × 3 × 7 × 7 × 7
As we can group the above factors into three groups of cubes i.e. 3
3
, 7
3
So, we express it as, 3
3
× 7
3
=21
3
∴ 9261 is a perfect cube.
Answered by
1
Yes 9261 is a perfect cube
As 9261 = 3*3*3*7*7*7
= 3^3*7^3
(21)^3
As 9261 = 3*3*3*7*7*7
= 3^3*7^3
(21)^3
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