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If a = 3 and b = 4, what is the value of a^2 + b^2? (2019)

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Question: If a = 3 and b = 4, what is the value of a^2 + b^2? (2019)

Options:

  1. 25
  2. 12
  3. 7
  4. 16

Correct Answer: 25

Solution: 

a^2 = 9 and b^2 = 16, so 9 + 16 = 25.

If a = 3 and b = 4, what is the value of a^2 + b^2? (2019)

Practice Questions

Q1
If a = 3 and b = 4, what is the value of a^2 + b^2? (2019)
  1. 25
  2. 12
  3. 7
  4. 16

Questions & Step-by-Step Solutions

If a = 3 and b = 4, what is the value of a^2 + b^2? (2019)
  • Step 1: Identify the values of a and b. Here, a = 3 and b = 4.
  • Step 2: Calculate a squared (a^2). This means multiplying a by itself: 3 * 3 = 9.
  • Step 3: Calculate b squared (b^2). 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 and understand the properties of exponents.
  • Pythagorean Theorem – The problem indirectly relates to the Pythagorean theorem, as it involves calculating the sum of squares of two sides.
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