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The sum of two numbers is 6 times their ...

The sum of two numbers is 6 times their geometric mean, show that numbers are in the ratio `(3+2sqrt2):(3-2sqrt2)`.

A

`(3 + 2 sqrt(2)): (3 - 2 sqrt(2))`

B

`3 - sqrt(2) : 4 + sqrt(2)`

C

`2 - sqrt(2) : 2 + sqrt(2)`

D

`5 - sqrt(2) : 5 + sqrt(2)`

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The correct Answer is:
A
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