Question

Simplify each expression.
1. 36 divided by (4 + 2^3)
2. 14 + (9^3 - 5^2)
3. Square root of 121
4. Square root of 289

Answer 1

Let's simplify each expression step by step:

1. **36 divided by (4 + 2^3)**:
- First, calculate \(2^3\):
\[
2^3 = 8
\]
- Then add 4:
\[
4 + 8 = 12
\]
- Now divide 36 by the result:
\[
36 \div 12 = 3
\]
- So, the simplified expression is:
\[
3
\]

2. **14 + (9^3 - 5^2)**:
- First, calculate \(9^3\):
\[
9^3 = 729
\]
- Next, calculate \(5^2\):
\[
5^2 = 25
\]
- Now subtract \(25\) from \(729\):
\[
729 - 25 = 704
\]
- Finally, add \(14\):
\[
14 + 704 = 718
\]
- So, the simplified expression is:
\[
718
\]

3. **Square root of 121**:
- The square root of \(121\) is:
\[
\sqrt{121} = 11
\]
- So, the simplified expression is:
\[
11
\]

4. **Square root of 289**:
- The square root of \(289\) is:
\[
\sqrt{289} = 17
\]
- So, the simplified expression is:
\[
17
\]

In summary, the simplified answers are:
1. \(3\)
2. \(718\)
3. \(11\)
4. \(17\)