What approximate value will come in place of question mark in the given questions?
`101.01+27.99=sqrt(?)xx42.99`

Options

A. 9
B. 25
C. 4
D. 49

Answer

To solve the equation \( 101.01 + 27.99 = \sqrt{?} \times 42.99 \), we will follow these steps:

### Step 1: Approximate the values
First, we approximate the numbers for easier calculations:
- \( 101.01 \) can be approximated to \( 101 \).
- \( 27.99 \) can be approximated to \( 28 \).
- \( 42.99 \) can be approximated to \( 43 \).

### Step 2: Rewrite the equation
Now, we rewrite the equation using these approximations:
\[ 101 + 28 = \sqrt{?} \times 43 \]

### Step 3: Calculate the left side
Calculate the left side:
\[ 101 + 28 = 129 \]

### Step 4: Set up the equation
Now we have:
\[ 129 = \sqrt{?} \times 43 \]

### Step 5: Isolate the square root
To isolate \( \sqrt{?} \), divide both sides by \( 43 \):
\[ \sqrt{?} = \frac{129}{43} \]

### Step 6: Calculate the division
Now, perform the division:
\[ \frac{129}{43} \approx 3 \]

### Step 7: Square both sides
Next, we square both sides to find \( ? \):
\[ ? = 3^2 = 9 \]

### Step 8: Conclusion
Thus, the approximate value that will come in place of the question mark is:
\[ ? \approx 9 \]