SOLUTION: Please help me solve this operation: 1/(4^(1/3) + 2^(1/3) + 1) is there a relationship with 2^(1/3) - 1 ?

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Question 699581: Please help me solve this operation:
1/(4^(1/3) + 2^(1/3) + 1)
is there a relationship with 2^(1/3) - 1 ?

Found 2 solutions by KMST, MathLover1:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Yes.
That is equal to your complicated expression.
Here is the best explanation I can type from my cell phone:
If that is a-1, your denominator is
a squared + a +1
and their product is
a cubed - 1 .
In other words,
That times your denominator equals
2 - 1 , which is 1.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1%2F%284%5E%281%2F3%29+%2B+2%5E%281%2F3%29+%2B+1%29
first you ask is there a relationship with 2%5E%281%2F3%29+-+1, but in given expression you don't have it

1%2F%28root%283%2C4%29+%2B+root%283%2C2%29+%2B+1%29.......root%283%2C4%29+=+1.59,and root%283%2C2%29+=+1.26
1%2F%281.59+%2B+1.26+%2B+1%29
1%2F%283.85%29
0.26