The owner of an apple orchard has field of new trees that are growing and producing more apples each year. He wants to determine the average growth rate; percentage increase, of the amount of apples produced by these trees over time. The amount of growth varies each year; so he decides to find the geometric mean, or average The formula g = √a • √b is used to find the geometric mean of two numbers. Over two years, the growth rate was 2x^2% and 4x^8% . Find the average growth rate for these two years. Leave your answer in simplified radical form.

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