`sqrt ? + 14= sqrt(2601`

Options

A. 1521
B. 1369
C. 1225
D. 961

Answer

To solve the equation \( \sqrt{?} + 14 = \sqrt{2601} \), we will follow these steps:

### Step 1: Simplify the Right Side
First, we need to calculate \( \sqrt{2601} \).

\[ \sqrt{2601} = 51 \]

### Step 2: Rewrite the Equation
Now we can rewrite the equation with the calculated value:

\[ \sqrt{?} + 14 = 51 \]

### Step 3: Isolate the Square Root
Next, we will isolate \( \sqrt{?} \) by subtracting 14 from both sides:

\[ \sqrt{?} = 51 - 14 \]

\[ \sqrt{?} = 37 \]

### Step 4: Square Both Sides
To eliminate the square root, we will square both sides of the equation:

\[ ? = 37^2 \]

\[ ? = 1369 \]

### Step 5: Conclusion
Thus, the value of \( ? \) is:

\[ ? = 1369 \]