Sure, let's break down the given expression step-by-step and provide a detailed solution.
The expression provided is:
[tex]\[ 5 \times 9 - 5 + 16 \][/tex]
### Step-by-Step Solution:
1. Multiplication:
First, we need to perform the multiplication:
[tex]\[ 5 \times 9 = 45 \][/tex]
2. Subtraction:
Next, we subtract 5 from the result of the multiplication:
[tex]\[ 45 - 5 = 40 \][/tex]
3. Addition:
After that, we add 16 to the result of the subtraction:
[tex]\[ 40 + 16 = 56 \][/tex]
4. Square Root of 2:
Lastly, we need to address the value of [tex]\(\sqrt{2}\)[/tex]:
[tex]\[ \sqrt{2} \approx 1.4142135623730951 \][/tex]
### Combined Solution:
So, combining all the steps, we have:
1. The result of [tex]\(5 \times 9\)[/tex] is [tex]\(45\)[/tex].
2. Subtracting 5 from [tex]\(45\)[/tex] gives [tex]\(40\)[/tex].
3. Adding 16 to [tex]\(40\)[/tex] results in [tex]\(56\)[/tex].
4. The value of [tex]\(\sqrt{2}\)[/tex] is approximately [tex]\(1.4142135623730951\)[/tex].
In summary:
- [tex]\(5 \times 9 = 45\)[/tex]
- [tex]\(45 - 5 = 40\)[/tex]
- [tex]\(40 + 16 = 56\)[/tex]
- [tex]\(\sqrt{2} \approx 1.4142135623730951\)[/tex]
Thus, the final numerical results for the calculations are:
[tex]\[ 45, 40, 56, \text{and} \approx 1.4142135623730951 \][/tex]
