Simplify each expression.

Question

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. \(17\)