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What is the simplified form of the expression 2√(8) + 3√(2)?

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Question: What is the simplified form of the expression 2√(8) + 3√(2)?

Options:

  1. 4√(2)
  2. 6√(2)
  3. 8√(2)
  4. 5√(2)

Correct Answer: 4√(2)

Solution: 

Step 1: Simplify 2√(8) = 2 * 2√(2) = 4√(2). Step 2: Combine: 4√(2) + 3√(2) = 7√(2).

What is the simplified form of the expression 2√(8) + 3√(2)?

Practice Questions

Q1
What is the simplified form of the expression 2√(8) + 3√(2)?
  1. 4√(2)
  2. 6√(2)
  3. 8√(2)
  4. 5√(2)

Questions & Step-by-Step Solutions

What is the simplified form of the expression 2√(8) + 3√(2)?
  • Step 1: Simplify 2√(8). First, notice that 8 can be written as 4 * 2. So, √(8) = √(4 * 2) = √(4) * √(2) = 2√(2). Now, multiply by 2: 2 * 2√(2) = 4√(2).
  • Step 2: Now, we have 4√(2) and 3√(2). Since they both have √(2), we can combine them: 4√(2) + 3√(2) = (4 + 3)√(2) = 7√(2).
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