The geometric mean g of n numbers xi is defined as the nth root of the product of xi:

 The geometric mean g of n numbers xi is defined as the nth root of the product of xi:

(This is useful, for example, in finding the average rate of return for an investment which is something you’d do in engineering economics). If an investment returns 15% the first year, 50% the second, and 30% the third year, the average rate of return would be (1.15*1.50*1.30)^⅓ . ) Compute this.