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Which of the following is equivalent to
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15 Feb 2021, 07:01
15 Feb 2021, 07:01
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Which of the following is equivalent to \(\frac{\sqrt{21}}{6}\)?
A. \(\frac{\sqrt{7}}{2}\)
B. \(\frac{7}{12}\)
C. \(\sqrt{\frac{7}{2}}\)
D. \(\sqrt{\frac{7}{12}}\)
E. \(\frac{7\sqrt{3}}{2}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. \(\frac{\sqrt{7}}{2}\)
B. \(\frac{7}{12}\)
C. \(\sqrt{\frac{7}{2}}\)
D. \(\sqrt{\frac{7}{12}}\)
E. \(\frac{7\sqrt{3}}{2}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Which of the following is equivalent to
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15 Feb 2021, 07:15
15 Feb 2021, 07:15
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Carcass wrote:
Which of the following is equivalent to \(\frac{\sqrt{21}}{6}\)?
A. \(\frac{\sqrt{7}}{2}\)
B. \(\frac{7}{12}\)
C. \(\sqrt{\frac{7}{2}}\)
D. \(\sqrt{\frac{7}{12}}\)
E. \(\frac{7\sqrt{3}}{2}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
A. \(\frac{\sqrt{7}}{2}\)
B. \(\frac{7}{12}\)
C. \(\sqrt{\frac{7}{2}}\)
D. \(\sqrt{\frac{7}{12}}\)
E. \(\frac{7\sqrt{3}}{2}\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Key property: \(\frac{\sqrt{x}}{\sqrt{y}}=\sqrt{\frac{x}{y}}\)
Since \(\sqrt{36}=6\), we can write: \(\frac{\sqrt{21}}{6}=\frac{\sqrt{21}}{\sqrt{36}}\)
\(=\sqrt{\frac{21}{36}}\) after applying the above property
\(=\sqrt{\frac{7}{12}}\) after simplifying the fraction
Answer: D
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Which of the following is equivalent to
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15 Feb 2021, 07:28
15 Feb 2021, 07:28
1
Carcass wrote:
Which of the following is equivalent to \(\frac{\sqrt{21}}{6}\)?
A. \(\frac{\sqrt{7}}{2}\)
B. \(\frac{7}{12}\)
C. \(\sqrt{\frac{7}{2}}\)
D. \(\sqrt{\frac{7}{12}}\)
E. \(\frac{7\sqrt{3}}{2}\)
A. \(\frac{\sqrt{7}}{2}\)
B. \(\frac{7}{12}\)
C. \(\sqrt{\frac{7}{2}}\)
D. \(\sqrt{\frac{7}{12}}\)
E. \(\frac{7\sqrt{3}}{2}\)
Write 6 as \(\sqrt{36}\)
So, \(\frac{\sqrt{21}}{6} = \sqrt{\frac{21}{36}} = \sqrt{\frac{7}{12}}\)
Hence, option D
