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If a = 4 and b = 5, what is the value of a² + b²?

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Question: If a = 4 and b = 5, what is the value of a² + b²?

Options:

  1. 41
  2. 25
  3. 16
  4. 9

Correct Answer: 41

Solution:

a² + b² = 4² + 5² = 16 + 25 = 41.

If a = 4 and b = 5, what is the value of a² + b²?

Practice Questions

Q1
If a = 4 and b = 5, what is the value of a² + b²?
  1. 41
  2. 25
  3. 16
  4. 9

Questions & Step-by-Step Solutions

If a = 4 and b = 5, what is the value of a² + b²?
  • Step 1: Identify the values of a and b. Here, a = 4 and b = 5.
  • Step 2: Calculate a squared (a²). This means multiplying a by itself: 4 * 4 = 16.
  • Step 3: Calculate b squared (b²). This means multiplying b by itself: 5 * 5 = 25.
  • Step 4: Add the results from Step 2 and Step 3 together: 16 + 25 = 41.
  • Basic Algebra – The question tests the ability to perform basic arithmetic operations, specifically squaring numbers and adding them.
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