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Which of the following are irrational numbers?\newlineMulti-select Choices:\newline(A) 77\newline(B) 22\newline(C) 7\sqrt{7}\newline(D) 00

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Q. Which of the following are irrational numbers?\newlineMulti-select Choices:\newline(A) 77\newline(B) 22\newline(C) 7\sqrt{7}\newline(D) 00
  1. Define irrational number: Define an irrational number. An irrational number is a number that cannot be expressed as a simple fraction or as a terminating or repeating decimal. It goes on forever without repeating.
  2. Evaluate option (A) 77: Evaluate option (A) 77. The number 77 can be expressed as the fraction 71\frac{7}{1}, which is a simple fraction. Therefore, it is not an irrational number.
  3. Evaluate option (B) 22: Evaluate option (B) 22.\newlineThe number 22 can be expressed as the fraction 21\frac{2}{1}, which is a simple fraction. Therefore, it is not an irrational number.
  4. Evaluate option (C) 7\sqrt{7}: Evaluate option (C) 7\sqrt{7}. The square root of 77 cannot be expressed as a simple fraction, and its decimal form is non-terminating and non-repeating. Therefore, 7\sqrt{7} is an irrational number.
  5. Evaluate option (D) 00: Evaluate option (D) 00.\newlineThe number 00 can be expressed as the fraction 01\frac{0}{1}, which is a simple fraction. Therefore, it is not an irrational number.

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