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Which of the following is the value of \(\sqrt{\sqrt{0.0081}}\)?
A. 0.002025
B. 0.09
C. 0.18
D. 0.3
E. 0.39
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A. 0.002025
B. 0.09
C. 0.18
D. 0.3
E. 0.39
_________________
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Abhishek009
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Bunuel
\(\sqrt{0.0081}\) = \(\sqrt{\frac{81}{1000}}\) = \(\frac{9}{100}\)
Furthrr \(\sqrt{\frac{9}{100}}\) = \(\frac{3}{10}\) = 0.3
Hence answer is D. 0.3
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EMPOWERgmatRichC
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Expert reply
Hi All,
This question can be solved by TESTing THE ANSWERS.
The prompt asks us to find the square root OF the square root of .0081. That question means that one of the answers, when squared and then squared AGAIN, will equal .0081.
Since .0081 has 4 decimal points, we're almost certainly looking for an answer that has just ONE decimal point (so squaring it will create 2 decimal points, then squaring THAT value will create 4 decimal points). The only answer that fits that pattern is D...
Answer D: .3
(.3)^2 = .09
(.09)^2 = .0081
That is an exact MATCH for what we were told so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing THE ANSWERS.
The prompt asks us to find the square root OF the square root of .0081. That question means that one of the answers, when squared and then squared AGAIN, will equal .0081.
Since .0081 has 4 decimal points, we're almost certainly looking for an answer that has just ONE decimal point (so squaring it will create 2 decimal points, then squaring THAT value will create 4 decimal points). The only answer that fits that pattern is D...
Answer D: .3
(.3)^2 = .09
(.09)^2 = .0081
That is an exact MATCH for what we were told so this MUST be the answer.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
Bunuel
Video Explanation
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TheNightKing
Joined: 18 Dec 2017
Last visit: 20 Mar 2024
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Posts: 1,119
Bunuel
The value of inner square root is 0.09. When you take the square root of that you get 0.3 which is option D.
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