What approximate value should come in the place of questions (?) mark.
`(144.01)/(root(4)(?)) + 24.03 % "of 124.97" = (8.01)^(2) - sqrt(99.99)`

Options

A. 16
B. 4096
C. 256
D. 1296

Answer

To solve the equation given in the question, we will follow these steps:

### Step 1: Write down the equation
The equation we need to solve is:
\[ \frac{144.01}{\sqrt[4]{?}} + 24.03\% \text{ of } 124.97 = (8.01)^2 - \sqrt{99.99} \]

### Step 2: Approximate the values
We will approximate the values:
- \(144.01 \approx 144\)
- \(24.03\% \approx 24\%\)
- \(124.97 \approx 125\)
- \(8.01 \approx 8\)
- \(\sqrt{99.99} \approx \sqrt{100} = 10\)

Now we can rewrite the equation using these approximations:
\[ \frac{144}{\sqrt[4]{?}} + 24\% \text{ of } 125 = 8^2 - 10 \]

### Step 3: Calculate \(24\%\) of \(125\)
To find \(24\%\) of \(125\):
\[ 24\% \text{ of } 125 = \frac{24}{100} \times 125 = \frac{24 \times 125}{100} = 30 \]

### Step 4: Calculate \(8^2 - 10\)
Next, we calculate \(8^2 - 10\):
\[ 8^2 = 64 \quad \text{and} \quad 64 - 10 = 54 \]

### Step 5: Substitute back into the equation
Now we substitute back into the equation:
\[ \frac{144}{\sqrt[4]{?}} + 30 = 54 \]

### Step 6: Isolate the term with the question mark
To isolate \(\frac{144}{\sqrt[4]{?}}\):
\[ \frac{144}{\sqrt[4]{?}} = 54 - 30 = 24 \]

### Step 7: Solve for \(\sqrt[4]{?}\)
Now we solve for \(\sqrt[4]{?}\):
\[ \sqrt[4]{?} = \frac{144}{24} = 6 \]

### Step 8: Find the value of the question mark
To find the value of the question mark, we raise both sides to the power of 4:
\[ ? = 6^4 \]
Calculating \(6^4\):
\[ 6^4 = 1296 \]

### Final Answer
The approximate value that should come in place of the question mark is:
\[ \boxed{1296} \]