The value of the determinant, " "|...

The value of the determinant,
`" "|{:(sqrt(13)+sqrt(3), 2sqrt(5), sqrt(5)), (sqrt(15)+sqrt(26), 5, sqrt(10)), (3+sqrt(65), sqrt(15), 5):}|` is :a)`5(sqrt(6)-5)` b)`5sqrt(3)(sqrt(6)-5)` c)`sqrt(5)(sqrt(6)-sqrt(3))` d)`sqrt(2)(sqrt(7)-sqrt(5))`

A

`5(sqrt(6)-5)`

B

`5sqrt(3)(sqrt(6)-5)`

C

`sqrt(5)(sqrt(6)-sqrt(3))`

D

`sqrt(2)(sqrt(7)-sqrt(5))`

Verified by Experts

The correct Answer is:

B

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