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What is the value of (√(2) + √(3))^2?

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Question: What is the value of (√(2) + √(3))^2?

Options:

  1. 5
  2. 6
  3. 7
  4. 8

Correct Answer: 7

Solution: 

(√(2) + √(3))^2 = 2 + 3 + 2√(6) = 5 + 2√(6).

What is the value of (√(2) + √(3))^2?

Practice Questions

Q1
What is the value of (√(2) + √(3))^2?
  1. 5
  2. 6
  3. 7
  4. 8

Questions & Step-by-Step Solutions

What is the value of (√(2) + √(3))^2?
Correct Answer: 5 + 2√(6)
  • Step 1: Start with the expression (√(2) + √(3))^2.
  • Step 2: Use the formula (a + b)^2 = a^2 + 2ab + b^2, where a = √(2) and b = √(3).
  • Step 3: Calculate a^2: (√(2))^2 = 2.
  • Step 4: Calculate b^2: (√(3))^2 = 3.
  • Step 5: Calculate 2ab: 2 * (√(2)) * (√(3)) = 2√(6).
  • Step 6: Combine all parts: 2 + 3 + 2√(6).
  • Step 7: Simplify the expression: 2 + 3 = 5, so the final result is 5 + 2√(6).
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