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Which of the following addition problems yields a sum that is an irrational number?

Which of the following addition problems yields a sum that is an irrational number? Select ALL that apply.
A. 2/3 + 9/7
B. √2 + √2
C. 3/2 + 2√5
D. √4 + 1
E. 11/3 + 2/17

Answer

  1. A. 2/3 + 9/7: This sum is rational because both numbers are rational.

  2. B. √2 + √2: This sum is rational because it equals 2√2, which is irrational.

  3. C. 3/2 + 2√5: This sum is irrational because 2√5 is irrational.

  4. D. √4 + 1: This sum is rational because √4 = 2, and 2 + 1 = 3.

  5. E. 11/3 + 2/17: This sum is rational because both numbers are rational.

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