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Select all the rational numbers.\newlineMulti-select Choices:\newline(A) 2-2\newline(B) 2\sqrt{2}\newline(C) 9\sqrt{9}\newline(D) 643\sqrt[3]{64}

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Q. Select all the rational numbers.\newlineMulti-select Choices:\newline(A) 2-2\newline(B) 2\sqrt{2}\newline(C) 9\sqrt{9}\newline(D) 643\sqrt[3]{64}
  1. Define Rational Number: Step 11: Define a rational number.\newlineA rational number can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero.
  2. Evaluate Choice (A): Step 22: Evaluate Choice (A) 2-2.\newline2-2 can be written as 21-\frac{2}{1}, where both 2-2 and 11 are integers.
  3. Evaluate Choice (B): Step 33: Evaluate Choice (B) 2\sqrt{2}.2\sqrt{2} is an irrational number because it cannot be expressed as a fraction of two integers.
  4. Evaluate Choice (C): Step 44: Evaluate Choice (C) 9\sqrt{9}.9\sqrt{9} equals 33, which can be written as 31\frac{3}{1}; hence, it is a rational number.
  5. Evaluate Choice (D): Step 55: Evaluate Choice (D) 643\sqrt[3]{64}. 643=4\sqrt[3]{64} = 4, which can be written as 41\frac{4}{1}; therefore, it is a rational number.

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