Multiple Choice Question (MCQ)

Which of the following square roots can be found exactly?

  1. ×

    \sqrt{.9}

  2. ×

    \sqrt{.4}

  3. \sqrt{.09}

  4. ×

    \sqrt{.025}

  5. ×

    \sqrt{.02}

Collected in the board: Square Root

Steven Zheng posted 5 hours ago

Answer

  1. \sqrt{.02} = \sqrt{\dfrac{2}{100} } =\dfrac{\sqrt{2} }{10}

    2 is not a perfect square so its square root cannot be found exactly

  2. \sqrt{.9} = \sqrt{\dfrac{9}{10} } =\dfrac{3}{\sqrt{10} }

    10 is not a perfect square so its square root cannot be found exactly

  3. \sqrt{.4} =\sqrt{\dfrac{4}{10} } =\sqrt{\dfrac{2}{5} }

    2 and 5 are not perfect squares so their square roots cannot be found exactly

  4. \sqrt{.09} =0.3

    Therefore

    C is the correct choice

  5. \sqrt{.025} =\sqrt{\dfrac{25}{1000} }=\dfrac{5}{10}\dfrac{1}{\sqrt{10} } =\dfrac{1}{2\sqrt{10} }

    10 is not a perfect square so its square root cannot be found exactly

Steven Zheng posted 4 hours ago

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