In each of the following questions, two equations are given. You have to solve them and
I. `x^(2)=1849`
II. `y=root(3)(79507)`

Options

A. If `xgty`
B. If `xley`
C. If `x=y`
D. If `xgty`

Answer

To solve the given equations step by step, we will tackle each equation separately.

### Step 1: Solve the first equation \( x^2 = 1849 \)

1. **Take the square root of both sides**:
\[ x = \sqrt{1849} \]

2. **Calculate the square root**:
- We can factor 1849 to find its square root.
- Notice that \( 1849 = 43 \times 43 \).
- Therefore, \( \sqrt{1849} = 43 \).

3. **Conclusion for the first equation**:
\[ x = 43 \]

### Step 2: Solve the second equation \( y = \sqrt[3]{79507} \)

1. **Calculate the cube root**:
- To find \( y \), we need to determine the cube root of 79507.
- We can factor 79507 to find its cube root.
- Notice that \( 79507 = 43 \times 43 \times 43 \) (or \( 43^3 \)).
- Therefore, \( \sqrt[3]{79507} = 43 \).

2. **Conclusion for the second equation**:
\[ y = 43 \]

### Final Result:
Both values are equal:
\[ x = 43 \quad \text{and} \quad y = 43 \]