Multiple Choice Question (MCQ)
Which of the following square roots can be found exactly?

×
\sqrt{.9}

×
\sqrt{.4}

✓
\sqrt{.09}

×
\sqrt{.025}

×
\sqrt{.02}
Which of the following square roots can be found exactly?
\sqrt{.9}
\sqrt{.4}
\sqrt{.09}
\sqrt{.025}
\sqrt{.02}
\sqrt{.02} = \sqrt{\dfrac{2}{100} } =\dfrac{\sqrt{2} }{10}
2 is not a perfect square so its square root cannot be found exactly
\sqrt{.9} = \sqrt{\dfrac{9}{10} } =\dfrac{3}{\sqrt{10} }
10 is not a perfect square so its square root cannot be found exactly
\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
\sqrt{.09} =0.3
Therefore
C is the correct choice
\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