How To ANNIHILATE ROOKS With The BISHOP PAIR
The Bishop Pair is a powerful combination that can effectively bamboozle rooks. Rooks' power comes from being fast, long range, and being able to hit every square on the board, bishops are exactly the same, except that they can only touch half the squares on the board (either the white or black tiles). However, a bishop pair is able to overcome this weakness by allowing your bishops to work together to see everything. Additionally, since bishops see diagonally and rooks look in a straight line, bishops can target rooks without being in danger themselves, a crucial aspect in this strategy.
Rooks can easily get themselves tangled up in their own pieces, giving way to bishops knocking them out. Below are a few common examples of bishop tactics to kill rooks
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BASIC BISHOP TACTICS (scroll down for the advanced bishop pair tactics)
A common blunder in >1000 elo games, white to move. White's bishop can take the weak pawn on g7, trapping black's rook
Now black's rook cannot escape. Black will play Bishop f6, and white will simply take the rook. Black will recapture and white will defend their own rook with c3
Another common blunder is the lining of up of rooks on a diagonal where the bishop can cut through both of them. White to move, and Bishop b5 lines up both rooks on the same diagonal. If the rook attempts to evade danger, the rook behind it will fall. 
Finally, if a rook is placed diagonally in front of or behind a king, a bishop can check the king, forcing it to move and taking the rook, or pinning the rook to the king, where it can't escape (Black to move)
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USING THE BISHOP PAIR TO ANNIHILATE ROOKS
This strategy is a bit tougher because you will have to look ahead a few moves, and you have to consider multiple pieces at once. It is easy to consider the moves that a single piece can do, but considering what multiple can work together to do is a more advanced skill
The basic idea is that 2 bishops can cover all the escape square of a rook semi-trapped by its own army (think of it like checkmating a rook)
In the following position, white to move, black has rook on b7. It is greatly limited in movement by its surrounding pieces, but still has 3 legal moves and a 4th escape square on a8. The black player has good reason to believe that his rook is safe... but he is wrong! Can you find a way that white can use the bishop pair to trap black's b7 rook?
That's correct! (unless you were wrong)
Bf6 hits black's b7 rook and forces it to retreat to b8, where it is safe... or is it?
White can now continue the squeeze on blacks b8 rook and completely trap it in 1 move! Can you find out how?
If you said Nd2, you deserve to be put to death. However, if you said Ba7, you are correct!
After Ba7, black cannot save his rook, as every square is covered by the bishop pair, so black is forced to defend the rook with Be6 (or any other bishop move) and lose the rook for a bishop after Bxb8, Rxb8
In this next example, black has 2 rooks that seem pretty safe, no chance of being trapped. However, an astute chess player will realize that there is a way to trap a rook with the bishops... but which move achieves this???
If you said Bb5, you'd be correct!
If you said Bb6+, you'd be wro... wait, that's also correct?
But no way that Bh6 is correct because it obviously... is also correct?!
Three ways to trap a rook, what a day (the engine likes lots of in-between moves in these positions, but they all end up with a rook dying and each rook trap gives you at least +8, even without in between moves)
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OPTION 1
To begin, Bb5 traps a rook... but how?
Black has 3 options that prevent the rook from dying next turn. Nc6 blocking, Rc7, or Rb7.
If Nc6 blocks, Rac1 hits the knight, threatening to win more than just a rook/bishop exchange. Black's only move that doesn't immediately lose everything is Rc7, defending the knight, but then Bb6 pins the rook to the king, losing the rook
If Rc7, White simply just pins the rook with Bb6, winning the rook
And finally, if Rb7, White just completely wins because the knight is no longer defended, so Bxa6 takes a free knight AND pins the rook to the queen
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OPTION 2
The 2nd way to trap the black rook is Bb6+
Black has 2 options that evade check and don't immediately lose everything. Nc7 blocking check, or Ke8.
If black plays Nc7, black's rook literally cannot move, so it can't escape capture after Bb5 (the knight is pinned to the king, so it can't capture the bishop).
Next, if black plays Ke8, Bb5 pins the rook to the king, threatening to capture. If black tries to block the pin with Nc6, Rac1 pins the knight to the queen and wins much more material than a rook, because the knight is pinned to the rook AND the queen, it cannot move, and Bxc6 hits the pinned rook and threatens to discover the queen, with Rge1+ threatening an eventual checkmate threat
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OPTION 3
The last option, Bh6, threatens to capture the other rook on c8, while the other options threatened the d7 rook. This option also involves the queen, but should that queen not have existed, there still is a way to win the rook (Bf7 or Bg7 if the rook went to Rd8 or Rf6, respectively)
Black's only option to save the rook is Rd8. The queen covers the long diagonal, so Rf6 and Rh8 immediately lose to the Queen. After Rh8, the white bishop moves Bc7, with every square now covered by the bishops and queen
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IN CONCLUSION
Everything I've told you is a lie, and if you implement these tips, you will lose
