`sqrt(15xx163/5-89)=?`

Options

A. 15
B. 25
C. 10
D. 20

Answer

To solve the equation \( \sqrt{\frac{15 \times 163}{5} - 89} \), we can follow these steps:

### Step 1: Simplify the expression inside the square root
We start with the expression:
\[ \sqrt{\frac{15 \times 163}{5} - 89} \]

First, we simplify \( \frac{15 \times 163}{5} \):
\[ \frac{15}{5} = 3 \]
So we can rewrite the expression as:
\[ \sqrt{3 \times 163 - 89} \]

### Step 2: Calculate \( 3 \times 163 \)
Next, we calculate \( 3 \times 163 \):
\[ 3 \times 163 = 489 \]
Now, substitute this back into the expression:
\[ \sqrt{489 - 89} \]

### Step 3: Perform the subtraction
Now, we perform the subtraction:
\[ 489 - 89 = 400 \]
So we have:
\[ \sqrt{400} \]

### Step 4: Calculate the square root
Finally, we calculate the square root of 400:
\[ \sqrt{400} = 20 \]

Thus, the final answer is:
\[ \boxed{20} \]