Complex arithmetic with Scala

Complex.scala

import math.sqrt

class Complex (val real: Double, val imag: Double) {
	def +(that: Complex): Complex = new Complex(this.real + that.real, this.imag + that.imag)
	def -(that: Complex): Complex = new Complex(this.real - that.real, this.imag - that.imag)

	val mod = (z: Complex) => math.sqrt(z.real * z.real + z.imag * z.imag)

	def *(that: Complex): Complex = {
		val real = this.real * that.real - this.imag * that.imag
		val imag = this.real * that.imag + this.imag * that.real
		new Complex(real, imag)
	}
	
	def /(that: Complex): Complex = {
		val real = this.real * that.real + this.imag * that.imag
		val imag = this.imag * that.real - this.real * that.imag
		val denom = mod(that)
		new Complex(real / denom, imag / denom)
	}

	def *(scalar: Double): Complex = new Complex(this.real * scalar, this.imag * scalar)
	def /(scalar: Double): Complex = new Complex(this.real / scalar, this.imag / scalar)

	override def toString(): String = "Complex(" + this.real + ", " + this.imag + ")"
}