`sqrt(1.96)` = _________.

Options

A. 2
B. 1
C. 1.5
D. 1.4

Answer

To find the square root of 1.96, we can follow these steps:

### Step-by-Step Solution:

1. **Convert the Decimal to a Fraction**:
- The number 1.96 has two decimal places. To convert it to a fraction, we can write it as:
\[ 1.96 = \frac{196}{100} \]

2. **Simplify the Fraction**:
- We can simplify \(\frac{196}{100}\) by finding the greatest common divisor (GCD) of 196 and 100. However, for finding the square root, we can directly work with the fraction as it is.

3. **Find the Square Root of the Numerator and Denominator**:
- Now, we can find the square root of both the numerator and the denominator:
\[ \sqrt{1.96} = \sqrt{\frac{196}{100}} = \frac{\sqrt{196}}{\sqrt{100}} \]

4. **Calculate the Square Roots**:
- We know that:
\[ \sqrt{196} = 14 \quad \text{and} \quad \sqrt{100} = 10 \]
- Therefore:
\[ \sqrt{1.96} = \frac{14}{10} \]

5. **Simplify the Fraction**:
- Simplifying \(\frac{14}{10}\) gives us:
\[ \frac{14}{10} = 1.4 \]

### Final Answer:
Thus, the square root of 1.96 is:
\[ \sqrt{1.96} = 1.4 \]

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