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If a = 3 and b = 4, what is the value of a² + b²?

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Question: If a = 3 and b = 4, what is the value of a² + b²?

Options:

  1. 7
  2. 12
  3. 25
  4. 34

Correct Answer: 25

Solution: 

a² + b² = 3² + 4² = 9 + 16 = 25.

If a = 3 and b = 4, what is the value of a² + b²?

Practice Questions

Q1
If a = 3 and b = 4, what is the value of a² + b²?
  1. 7
  2. 12
  3. 25
  4. 34

Questions & Step-by-Step Solutions

If a = 3 and b = 4, what is the value of a² + b²?
  • Step 1: Identify the values of a and b. Here, a = 3 and b = 4.
  • Step 2: Calculate a squared (a²). This means multiplying a by itself: 3 * 3 = 9.
  • Step 3: Calculate b squared (b²). This means multiplying b by itself: 4 * 4 = 16.
  • Step 4: Add the results from Step 2 and Step 3 together: 9 + 16 = 25.
  • Basic Algebra – The question tests the ability to perform basic arithmetic operations, specifically squaring numbers and adding them.
  • Order of Operations – It assesses understanding of the order in which operations should be performed, although in this case, it is straightforward.
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