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Is 0\sqrt{0} a rational number?\newlineChoices:\newline(A)yes\newline(B)no

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Identify rational and irrational square rootsright chevron icon

Full solution

Q. Is 0\sqrt{0} a rational number?\newlineChoices:\newline(A)yes\newline(B)no
  1. Calculate 0\sqrt{0}: Step 11: Calculate 0\sqrt{0}.\newlineWe know that any number multiplied by 00 is 00.\newline0=0×00 = 0 \times 0\newline0=(02)=0\sqrt{0} = \sqrt{(0^2)} = 0
  2. Determine if terminating decimal: Step 22: Determine if 00 is a terminating decimal.00 is a whole number and can be represented as 0.00.0, which is a terminating decimal.
  3. Check rational number: Step 33: Check if 00 is a rational number.\newlineA rational number can be expressed as a fraction where both numerator and denominator are integers, and the denominator is not zero.\newline00 can be expressed as 01\frac{0}{1}.

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