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43 votes
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(√3 + √11)² + (√3 - √11)²

User Meysam
by
2.7k points

2 Answers

17 votes
17 votes

Answer:

28

Explanation:

(a + b)² + (a - b)² = 2a² + 2b²

(√3 + √11)² + (√3 - √11)²

= 2√3² + 2√11²

= 28

User Osos
by
2.9k points
12 votes
12 votes

(√3 + √11)² + (√3 - √11)²

  • (a+b)² = a² + b² + 2ab
  • ( a - b )² = a² + b² - 2ab

Now ,

(√3 + √11)² + (√3 - √11)²

(3 + 11 + 2√3√11)+ (3 +11 - 2√3√11)

14 + 2√33+ 14 - 2√33

14 + 14 = 28

Hence , The value of (√3 + √11)² + (√3 - √11)² is 28 .

User Gabriel Marcondes
by
3.3k points
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