Suppose That G1 Represents the Ratio of Year 2 GDP $(g 1+g 2) / 2$

Suppose that g1 represents the ratio of year 2 GDP to year 1 GDP, both valued at year 1 prices. Suppose that g2 represents the ratio of year 2 GDP to year 1 GDP, both valued at year 2 prices. The ratio of chain-weighted year 2 GDP to chain-weighted year 1 GDP equals

A) $(g 1+g 2) / 2$
B) $\left(g_{1} \times g_{2}\right) / 2$
C) $\left(\sqrt{g_{1}}+\sqrt{g_{2}}\right) / 2$
D) $\sqrt{g_{1} \times g_{2}}$
E) $\sqrt{g_{1} / g_{1}}$