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Find each square root. Where necessary, round to the nearest 100 th: sqrt((2)/(72))

Find each square root. Where necessary, round to the nearest 100100 th:\newline272 \sqrt{\frac{2}{72}}

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Full solution

Q. Find each square root. Where necessary, round to the nearest 100100 th:\newline272 \sqrt{\frac{2}{72}}
  1. Simplify Fraction: First, simplify the fraction under the square root. \newline(272)=(136)(\frac{2}{72}) = (\frac{1}{36})
  2. Find Square Root: Now, find the square root of the simplified fraction. 136=136\sqrt{\frac{1}{36}} = \frac{\sqrt{1}}{\sqrt{36}}
  3. Calculate Square Roots: Calculate the square roots of the numerator and the denominator.\newline1=1\sqrt{1} = 1\newline36=6\sqrt{36} = 6
  4. Divide to Get Answer: Divide the square roots to get the final answer. 16=0.1666…\frac{1}{6} = 0.1666\ldots
  5. Round to Nearest Hundredth: Round the result to the nearest hundredth. 0.1666…≈0.170.1666\ldots \approx 0.17

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