To simplify the expression \( 125.7 - (-1.82) \), we first note that subtracting a negative number is equivalent to adding its positive counterpart. Therefore, we can rewrite the expression as:
\[ 125.7 + 1.82 \]
Now, we perform the addition:
\[ 125.7 + 1.82 = 127.52 \]
Thus, the simplified result of the expression \( 125.7 - (-1.82) \) is:
\[ 127.52 \]
The correct answer is:
127.52