Which of the following number is the least ?
`(0.5)^(2)`, `sqrt(0.49)`, `root3(0.008)`, `0.23`

Options

A. `(0.5)^(2)`
B. `sqrt(0.49)`
C. `root3(0.008)`
D. `0.23`

Answer

To determine which of the following numbers is the least:

1. **Calculate (0.5)²**:
\[ (0.5)^2 = 0.5 \times 0.5 = 0.25 \]

2. **Calculate \(\sqrt{0.49}\)**:
\[ \sqrt{0.49} = \sqrt{\frac{49}{100}} = \frac{\sqrt{49}}{\sqrt{100}} = \frac{7}{10} = 0.7 \]

3. **Calculate \(\sqrt[3]{0.008}\)**:
\[ \sqrt[3]{0.008} = \sqrt[3]{\frac{8}{1000}} = \frac{\sqrt[3]{8}}{\sqrt[3]{1000}} = \frac{2}{10} = 0.2 \]

4. **Identify the last number**:
\[ 0.23 \text{ (This is already in decimal form)} \]

Now we have the following values:
- (0.5)² = 0.25
- \(\sqrt{0.49}\) = 0.7
- \(\sqrt[3]{0.008}\) = 0.2
- 0.23 = 0.23

**Compare the values**:
- 0.25
- 0.7
- 0.2
- 0.23

The least number among these is **0.2**, which corresponds to \(\sqrt[3]{0.008}\).

Thus, the answer is:
\[ \text{The least number is } \sqrt[3]{0.008}. \]

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