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Is 9\sqrt{9} an irrational number?\newlineChoices:\newline(A) yes\newline(B) no

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Identify rational and irrational square rootsright chevron icon

Full solution

Q. Is 9\sqrt{9} an irrational number?\newlineChoices:\newline(A) yes\newline(B) no
  1. Calculate 9\sqrt{9}: Step 11: Calculate 9\sqrt{9}.\newlineTo find the square root of 99, we need to determine which number multiplied by itself gives 99.\newline9=3×39 = 3 \times 3\newline9=32=3\sqrt{9} = \sqrt{3^2} = 3
  2. Determine decimal type: Step 22: Determine if 33 is a terminating decimal.\newlineThe number 33 can be expressed as 3.03.0, which is a terminating decimal.
  3. Check irrationality: Step 33: Check if 33 is an irrational number.\newlineSince 33 is a terminating decimal, it is not an irrational number. Irrational numbers are non-terminating, non-repeating decimals.

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