Scala, 67 63 bytes
def e(a:(Int, Int)*)=math.sqrt(a map(x=>x._2-x._1)map(x=>x*x)sum) Requires input as a sequence/vector of var-arg tuples
Example:
scala> e((1, 5), (2, 6), (3, 7), (4, 8)) res1: Double = 8.0 def e(a:(Int, Int)*)=math.sqrt(a map(x=>x._2-x._1)map(x=>x*x)sum) Requires input as a sequence/vector of var-arg tuples
Example:
scala> e((1, 5), (2, 6), (3, 7), (4, 8)) res1: Double = 8.0