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What is the value of 24^2 + 25^2?24^2 + 25^2 का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: 12011201
24^2 = 576 and 25^2 = 625, so 24^2 + 25^2 = 576 + 625 = 1201. A quick method: compute 24^2 as (25−1)^2 = 25^2 − 2·25 + 1 = 576, then add. The closest distractor 1200 is off by 1 and therefore incorrect. Exam tip: use the identity (n−1)^2 + n^2 = 2n^2 − 2n + 1 for consecutive integers to save time.24^2 = 576 और 25^2 = 625 हैं; इसलिए 24^2 + 25^2 = 576 + 625 = 1201। एक तेज़ तरीका: 24^2 = (25−1)^2 = 25^2 − 2·25 + 1 = 625 − 50 + 1 = 576, फिर जोड़ें। निकटतम दलाल विकल्प 1200 सिर्फ 1 से कम है इसलिए गलत है। परीक्षा टिप: लगातार पूर्णांकों के वर्ग जोड़ने के लिए (n−1)^2 + n^2 = 2n^2 − 2n + 1 का उपयोग करें।
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