Speaker wire sheath has split
There are a number of items you could use to cover (repair) the exposed wire. I agree the quickest repair would be to use electrical tape, everyone has it at home but I don't find it very durable. The easiest, most durable, waterproof, and coolest solution would be to use Bondic
Bondic The World First Liquid Plastic Welder Not Glue
I found it the other week at my Redmond's Home Hardware store and I keep finding things to use it on. It has a precise applicator and the flow of material is very controlled so it allows for very tidy repairs.
You could also use liquid electrical tape, it's messier but it will stick better than regular electrical tape
Broken speaker wire
Hello, Get some black electrical tape for ace, lowes or home depot and put around the exposed wires.
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