The square of 6.1 is ____________.

Answer

To find the square of 6.1, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Squaring**: The square of a number \( x \) is calculated by multiplying the number by itself, i.e., \( x^2 = x \times x \).

2. **Express 6.1 in a Different Form**: We can express 6.1 as \( 6 + 0.1 \).

3. **Use the Squaring Formula**: We can use the identity for squaring a binomial:
\[ (a + b)^2 = a^2 + 2ab + b^2 \]
Here, let \( a = 6 \) and \( b = 0.1 \).

4. **Calculate Each Component**:
- Calculate \( a^2 \):
\[ 6^2 = 36 \]
- Calculate \( b^2 \):
\[ (0.1)^2 = 0.01 \]
- Calculate \( 2ab \):
\[ 2 \times 6 \times 0.1 = 12 \times 0.1 = 1.2 \]

5. **Combine All Components**: Now, we can add these results together:
\[ 6.1^2 = a^2 + 2ab + b^2 = 36 + 1.2 + 0.01 \]

6. **Perform the Final Addition**:
- First, add \( 36 + 1.2 = 37.2 \).
- Then, add \( 37.2 + 0.01 = 37.21 \).

### Final Answer:
The square of 6.1 is \( 37.21 \).

---