Question

Find the GM between $\frac{4}{9}$ and $\frac{169}{9}$.

• A. $\frac{26}{3}$
• B. $\frac{26}{9}$
• C. $\frac{15}{9}$
• D. $\frac{26}{4}$

Answer 1

The correct option is B $\frac{26}{9}$

The geometric mean between two terms a and b are given by $\sqrt{ab}$.

Hence, the G.M. between $\frac{4}{9}$ and $\frac{169}{9}=\sqrt{\frac{4}{9}\times \frac{169}{9}}=\sqrt{\frac{676}{81}}=\frac{26}{9}$