Difference of two perfect cubes is 387. If the cube root of the greater of two numbers is 8, find the cube root of the smaller number.
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Step-by-step explanation:
Given,
The difference in two cubes =387
And, the cube root of the greatest number =8
So, the greatest number =(8)
3
=8×8×8=512
Hence, the second number =512−387=125
Thus,
The cube root of 125 is
=
3
125
=
3
5×5×5
=5
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