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If a = 2 and b = 3, what is the value of a^2 + b^2?

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Question: If a = 2 and b = 3, what is the value of a^2 + b^2?

Options:

  1. 5
  2. 7
  3. 13
  4. 12

Correct Answer: 13

Solution: 

a^2 = 4 and b^2 = 9, so 4 + 9 = 13.

If a = 2 and b = 3, what is the value of a^2 + b^2?

Practice Questions

Q1
If a = 2 and b = 3, what is the value of a^2 + b^2?
  1. 5
  2. 7
  3. 13
  4. 12

Questions & Step-by-Step Solutions

If a = 2 and b = 3, what is the value of a^2 + b^2?
  • Step 1: Identify the values of a and b. Here, a = 2 and b = 3.
  • Step 2: Calculate a squared (a^2). This means multiplying a by itself: 2 * 2 = 4.
  • Step 3: Calculate b squared (b^2). This means multiplying b by itself: 3 * 3 = 9.
  • Step 4: Add the results from Step 2 and Step 3 together: 4 + 9 = 13.
  • Basic Algebra – Understanding how to square numbers and perform basic arithmetic operations.
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