Thread-safe way to funnel data from multiple go routines

Given the following example: http://play.golang.org/p/owvJ8Oi77S

func produce(dataChannel chan int) {
    for i := 0; i < 10; i++ {
        dataChannel <- i
    }
}

func main() {
    dataChannel := make(chan int)

    go produce(dataChannel)
    go produce(dataChannel)
    go produce(dataChannel)

    for i := 0; i < 30; i++ {
        data := <-dataChannel
        fmt.Printf("%v ", data)
    }
}

Is my assumption that writing to a channel from multiple go routines unsafe correct?

Is there a common/idiomatic way to do this safely? I know you can make a separate channel for each routine that's producing data, I was just wondering if that was the cleanest solution or if there are other alternatives.