Which of the following statement(s) is/are TRUE?
I. `sqrt(64) + sqrt(.64) + sqrt(0.0064) =8.88`
II. `sqrt(81) + sqrt(.81) +sqrt(0.0081)=9.09`

Options

A. Only I
B. Only II
C. Neither I nor II
D. Both I and II

Answer

To determine which of the statements is true, we will evaluate each statement separately.

### Statement I:
\[ \sqrt{64} + \sqrt{0.64} + \sqrt{0.0064} \]

1. **Calculate \(\sqrt{64}\)**:
\[ \sqrt{64} = 8 \]

2. **Calculate \(\sqrt{0.64}\)**:
\[ \sqrt{0.64} = \sqrt{\frac{64}{100}} = \frac{\sqrt{64}}{\sqrt{100}} = \frac{8}{10} = 0.8 \]

3. **Calculate \(\sqrt{0.0064}\)**:
\[ \sqrt{0.0064} = \sqrt{\frac{64}{10000}} = \frac{\sqrt{64}}{\sqrt{10000}} = \frac{8}{100} = 0.08 \]

4. **Add the results**:
\[ 8 + 0.8 + 0.08 = 8 + 0.8 + 0.08 = 8.88 \]

Thus, Statement I is true.

### Statement II:
\[ \sqrt{81} + \sqrt{0.81} + \sqrt{0.0081} \]

1. **Calculate \(\sqrt{81}\)**:
\[ \sqrt{81} = 9 \]

2. **Calculate \(\sqrt{0.81}\)**:
\[ \sqrt{0.81} = \sqrt{\frac{81}{100}} = \frac{\sqrt{81}}{\sqrt{100}} = \frac{9}{10} = 0.9 \]

3. **Calculate \(\sqrt{0.0081}\)**:
\[ \sqrt{0.0081} = \sqrt{\frac{81}{10000}} = \frac{\sqrt{81}}{\sqrt{10000}} = \frac{9}{100} = 0.09 \]

4. **Add the results**:
\[ 9 + 0.9 + 0.09 = 9 + 0.9 + 0.09 = 9.99 \]

Thus, Statement II is false.

### Conclusion:
- Statement I is true.
- Statement II is false.

### Final Answer:
**Only Statement I is true.**

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