Question

Simplify 4 squared (3-1/2)-√121

Answer 1

To simplify the expression \( 4^2 (3 - \frac{1}{2}) - \sqrt{121} \), we can follow these steps:

1. Calculate \( 4^2 \):
\[
4^2 = 16
\]

2. Calculate \( 3 - \frac{1}{2} \):
\[
3 - \frac{1}{2} = \frac{6}{2} - \frac{1}{2} = \frac{5}{2}
\]

3. Now multiply \( 16 \) by \( \frac{5}{2} \):
\[
16 \times \frac{5}{2} = \frac{16 \times 5}{2} = \frac{80}{2} = 40
\]

4. Calculate \( \sqrt{121} \):
\[
\sqrt{121} = 11
\]

5. Now combine the results:
\[
40 - 11 = 29
\]

Thus, the simplified expression is \( \boxed{29} \).