√((544)² - (256)²) = ?
Understand the Problem
प्रश्न में दिया गया समीकरण है √((544)² - (256)²) और इसे हल करने के लिए कहा गया है। यह एक गणितीय समीकरण है जिसे हल करने के लिए हमें पायथागोरस के प्रमेय का उपयोग करना पड़ेगा।
Answer
The solution to the equation is \( 480 \).
Answer for screen readers
The final answer is ( 480 ).
Steps to Solve
- Calculate the squares of the numbers First, we need to find the squares of 544 and 256.
- ( (544)^2 = 295936 )
- ( (256)^2 = 65536 )
- Subtract the smaller square from the larger square Now, we will subtract ( (256)^2 ) from ( (544)^2 ).
- ( 295936 - 65536 = 230400 )
- Take the square root of the result Next, we calculate the square root of the difference obtained in the previous step.
- ( \sqrt{230400} )
- Calculate the square root The final step is to simplify the square root.
- ( \sqrt{230400} = 480 )
The final answer is ( 480 ).
More Information
The equation leverages properties of squares and square roots, and involves applying the difference of squares property.
Tips
- Forgetting to calculate the squares before subtracting.
- Miscalculating the square root, especially if using a calculator without verifying.
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