Find the square of :
`6.3`

Answer

To find the square of the number \(6.3\), follow these steps:

### Step 1: Write the expression for the square
To find the square of \(6.3\), we need to multiply the number by itself:
\[ 6.3 \times 6.3 \]

### Step 2: Ignore the decimal for multiplication
For easier calculation, we can ignore the decimal point temporarily and multiply \(63\) by \(63\):
\[ 63 \times 63 \]

### Step 3: Perform the multiplication
Now, we can multiply \(63\) by \(63\):
- \(3 \times 3 = 9\) (write down 9)
- \(3 \times 6 = 18\) (write down 8 and carry over 1)
- \(6 \times 3 = 18\) (add the carry over 1, so \(18 + 1 = 19\))
- \(6 \times 6 = 36\) (write down 36)

Now, let's arrange the results:
```
63
x 63
------
189 (this is 63 times 3)
+ 3780 (this is 63 times 60, shifted one position to the left)
------
3969
```

### Step 4: Place the decimal point
Since we initially ignored the decimal point, we need to place it back. The number \(6.3\) has one decimal place, so when we square it, we will have:
\[ 6.3^2 = 39.69 \]

### Final Answer
Therefore, the square of \(6.3\) is:
\[ \boxed{39.69} \]

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