Multiple choice

Find the value of the expression $\displaystyle \sqrt{0.0009} \div \sqrt{0.01}$

  1. 3

  2. 0.3
  3. $\displaystyle \frac{1}{3}$

  4. 0.9
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B Correct answer
Explanation

The square root of 0.0009 is 0.03, and the square root of 0.01 is 0.1. Dividing 0.03 by 0.1 gives 0.3, which is the correct value.

AI explanation

Convert the decimals to fractions to get the square root of 9 divided by 10000, divided by the square root of 1 divided by 100. This simplifies to 3 divided by 100, multiplied by 100 divided by 1, which equals 0.3.

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