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If (3+a sqrt(2))^(100) + (3+b sqrt(2))^(...

If `(3+a sqrt(2))^(100) + (3+b sqrt(2))^(100)=7+5 sqrt(2)`, number of pairs (a,b) for which the equation is true is, (a,b are rational numbers)

A

1

B

6

C

0

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
C
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