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Which of the following is equivalent to 2^(3/2)?

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Question: Which of the following is equivalent to 2^(3/2)?

Options:

  1. √8
  2. 4
  3. 2√2
  4. 8

Correct Answer: √8

Solution: 

2^(3/2) = √(2^3) = √8.

Which of the following is equivalent to 2^(3/2)?

Practice Questions

Q1
Which of the following is equivalent to 2^(3/2)?
  1. √8
  2. 4
  3. 2√2
  4. 8

Questions & Step-by-Step Solutions

Which of the following is equivalent to 2^(3/2)?
Correct Answer: √8
  • Step 1: Start with the expression 2^(3/2).
  • Step 2: Rewrite 2^(3/2) as the square root of 2 raised to the power of 3. This gives us √(2^3).
  • Step 3: Calculate 2^3, which is 2 * 2 * 2 = 8.
  • Step 4: Now, substitute back into the expression: √(2^3) becomes √8.
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