Find the square of : `59`

Options

A. `3681`
B. `3981`
C. `3481`
D. `3881`

Answer

To find the square of 59, we will follow these steps:

### Step 1: Write the expression for the square
We need to find \( 59^2 \).

### Step 2: Break down the multiplication
We can express \( 59 \) as \( (50 + 9) \). Thus, we can use the formula for the square of a binomial:
\[ (a + b)^2 = a^2 + 2ab + b^2 \]
where \( a = 50 \) and \( b = 9 \).

### Step 3: Calculate \( a^2 \)
Calculate \( 50^2 \):
\[ 50^2 = 2500 \]

### Step 4: Calculate \( b^2 \)
Calculate \( 9^2 \):
\[ 9^2 = 81 \]

### Step 5: Calculate \( 2ab \)
Calculate \( 2 \times 50 \times 9 \):
\[ 2 \times 50 \times 9 = 900 \]

### Step 6: Combine all parts
Now, we combine all the parts:
\[ 59^2 = 50^2 + 2 \times 50 \times 9 + 9^2 \]
\[ 59^2 = 2500 + 900 + 81 \]

### Step 7: Add the results
Now, we add these values together:
\[ 2500 + 900 = 3400 \]
\[ 3400 + 81 = 3481 \]

### Conclusion
Thus, the square of \( 59 \) is:
\[ 59^2 = 3481 \]

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