Fill in the blanks:
(i) A.M.=…………..
(ii) G.M. =……… where a and b are two numbers.

Answer

To solve the question, we need to find the expressions for the Arithmetic Mean (A.M.) and the Geometric Mean (G.M.) of two numbers, a and b.

### Step-by-Step Solution:

1. **Understanding Arithmetic Mean (A.M.):**
- The Arithmetic Mean of two numbers, a and b, is calculated by adding the two numbers together and then dividing by 2.
- Therefore, the formula for A.M. is:
\[ \text{A.M.} = \frac{a + b}{2} \]

2. **Understanding Geometric Mean (G.M.):**
- The Geometric Mean of two numbers, a and b, is calculated by taking the square root of the product of the two numbers.
- Therefore, the formula for G.M. is:
\[ \text{G.M.} = \sqrt{a \cdot b} \]

### Final Answers:
(i) A.M. = \(\frac{a + b}{2}\)
(ii) G.M. = \(\sqrt{a \cdot b}\)

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