What approximate value will come in place of questions mark (?) in the given questions? (You are not expected to calculate the exact value.)
`(14.12+7.98)/(3.05+8.01)xx2.98^2=?`

Options

A. 12
B. 30
C. 24
D. 18

Answer

To solve the expression `(14.12 + 7.98) / (3.05 + 8.01) * 2.98^2` and find the approximate value, we can follow these steps:

### Step-by-Step Solution:

1. **Approximate the Numerator:**
- The numerator is `14.12 + 7.98`.
- We can approximate `14.12` to `14` and `7.98` to `8`.
- Therefore, `14.12 + 7.98 ≈ 14 + 8 = 22`.

2. **Approximate the Denominator:**
- The denominator is `3.05 + 8.01`.
- We can approximate `3.05` to `3` and `8.01` to `8`.
- Therefore, `3.05 + 8.01 ≈ 3 + 8 = 11`.

3. **Approximate the Square:**
- The term `2.98^2` can be approximated by rounding `2.98` to `3`.
- Thus, `2.98^2 ≈ 3^2 = 9`.

4. **Combine the Approximations:**
- Now, we substitute the approximated values into the expression:
- The expression now looks like this: `(22 / 11) * 9`.

5. **Calculate the Division:**
- Calculate `22 / 11`, which equals `2`.

6. **Multiply by the Square:**
- Now, multiply `2` by `9`:
- `2 * 9 = 18`.

### Final Result:
The approximate value that will come in place of the question mark (?) is **18**.