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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1
Answer:
7
Step-by-step explanation:
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GIVEN THAT :
Difference of two perfect cubes = 387
Cube Root of greater no. = 8
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TO FIND :
Cube Root of smaller number.
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SOLUTION :
Let the smaller no. be x³
{ Since, it is a perfect cube and " x " denotes the cube Root }
Given that, cube Root of greater number is 8,
cube would be : -
=> ( 8 )³
=> 8 × 8 × 8
=> 512
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A.T.Q.
THE EQUATION FORMED :
512 - x³ = 387
=> x³ = 512 - 387
=> x³ = 125
=> x =
=> x = 5
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ANSWER :
The cube Root of the smaller number is 5
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