Find the ones place of square of `56^(2)`.

Options

A. 6
B. 4
C. 5
D. 1

Answer

To find the ones place of the square of \(56\), we can follow these steps:

### Step 1: Identify the number to be squared
We need to find the square of \(56\).

### Step 2: Use the formula for squaring a binomial
We can express \(56\) as \(50 + 6\). We will use the identity for squaring a binomial:
\[ (a + b)^2 = a^2 + 2ab + b^2 \]
Here, \(a = 50\) and \(b = 6\).

### Step 3: Calculate each term
1. Calculate \(a^2\):
\[ 50^2 = 2500 \]
2. Calculate \(b^2\):
\[ 6^2 = 36 \]
3. Calculate \(2ab\):
\[ 2 \times 50 \times 6 = 600 \]

### Step 4: Combine the results
Now, we add all these results together:
\[ 2500 + 600 + 36 \]

### Step 5: Perform the addition
1. First, add \(2500\) and \(600\):
\[ 2500 + 600 = 3100 \]
2. Now, add \(36\):
\[ 3100 + 36 = 3136 \]

### Step 6: Identify the ones place
The final result of \(56^2\) is \(3136\). The ones place of \(3136\) is \(6\).

### Conclusion
Thus, the ones place of the square of \(56\) is \(6\).

---