Some equations are solved based on a certain system. Find the correct...
To solve this equation, we need to find a pattern or relationship between the given equations.
Let's analyze the given equations:
1) 324 × 289 = 35
2) 441 × 484 = 43
3) 625 × 400 = 45
Pattern:
Upon observing the given equations, we notice that the result of the equation seems to be related to the square root of the second number in the multiplication.
- In the first equation, the square root of 289 is 17, and the result is 35.
- In the second equation, the square root of 484 is 22, and the result is 43.
- In the third equation, the square root of 400 is 20, and the result is 45.
Using the pattern to solve the unsolved equation:
Now, let's apply this pattern to the unsolved equation: 256 × 729.
The square root of 729 is 27.
So, we can expect the result of the equation to be related to 27.
Now, we need to determine the relationship between the square root and the result.
By observing the given equations, we can notice that the result is obtained by subtracting the square root from the first number in the multiplication.
In the first equation: 324 - 17 = 307
In the second equation: 441 - 22 = 419
In the third equation: 625 - 20 = 605
So, applying the same logic to the unsolved equation: 256 - 27 = 229.
Therefore, the value of 256 × 729 is 229.
Hence, the correct answer is option 'D' (229).