Sure, let's evaluate the expression step by step:
Given expression:
[tex]\[
[4 + (11 + 25) \div 9] \times 6
\][/tex]
Step 1: Calculate the value inside the innermost parentheses
First, evaluate the addition inside the parentheses:
[tex]\[
11 + 25 = 36
\][/tex]
Step 2: Divide the result of the inner parentheses by 9
Next, divide the result by 9:
[tex]\[
36 \div 9 = 4.0
\][/tex]
Step 3: Add 4 to the result of the division
Add 4 to the result obtained from the division:
[tex]\[
4 + 4.0 = 8.0
\][/tex]
Step 4: Multiply the result by 6
Finally, multiply the sum by 6:
[tex]\[
8.0 \times 6 = 48.0
\][/tex]
So, the value of the given expression is:
[tex]\[
48.0
\][/tex]
