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Is sqrt12*sqrt3 rational or irrational? Choose 1 answer: (A) Rational (B) Irrational (C) It can be either rational or irrational

Is 12⋅3\sqrt{12} \cdot \sqrt{3} rational or irrational?\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational\newline(C) It can be either rational or irrational

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Full solution

Q. Is 12⋅3\sqrt{12} \cdot \sqrt{3} rational or irrational?\newlineChoose 11 answer:\newline(A) Rational\newline(B) Irrational\newline(C) It can be either rational or irrational
  1. Evaluate Product of Square Roots: Evaluate the product of 12\sqrt{12} and 3\sqrt{3}.
    12×3=12×3\sqrt{12} \times \sqrt{3} = \sqrt{12 \times 3}
    = 36\sqrt{36}
  2. Determine Square Root of 3636: Determine the square root of 3636. 36=6\sqrt{36} = 6
  3. Identify Rationality of 66: Identify whether 66 is a rational or irrational number.66 is a whole number, and all whole numbers are rational because they can be expressed as a fraction where the denominator is 11 (61\frac{6}{1}).

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