Simplify:- (√35% of 80 + 8) = ?

Options

A. a. 5
B. b. 14
C. c. 6
D. d. 18

Answer

To simplify the expression \( \sqrt{35\% \text{ of } 80 + 8} \), we can follow these steps:

### Step 1: Convert the percentage to a fraction
First, we convert \( 35\% \) to a fraction:
\[ 35\% = \frac{35}{100} \]

### Step 2: Calculate \( 35\% \text{ of } 80 \)
Now, we calculate \( 35\% \text{ of } 80 \):
\[ 35\% \text{ of } 80 = \frac{35}{100} \times 80 \]

### Step 3: Simplify the multiplication
We can simplify \( \frac{35 \times 80}{100} \):
\[ = \frac{35 \times 80}{100} = \frac{35 \times 8}{10} = \frac{280}{10} = 28 \]

### Step 4: Add 8 to the result
Now, we add 8 to the result from the previous step:
\[ 28 + 8 = 36 \]

### Step 5: Take the square root
Finally, we take the square root of the sum:
\[ \sqrt{36} = 6 \]

### Final Answer
Thus, the simplified value is:
\[ \boxed{6} \]