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^2[/m]](/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "What is the value of [m](\sqrt[3]{\sqrt{\sqrt[3]{512}}})^2[/m]"){kind=icon}
10 May 2017, 11:57
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D
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Difficulty:
5%
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Question Stats:
84% (01:41) correct
16%
(02:12)
wrong
based on 451
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What is the value of \((\sqrt[3]{\sqrt{\sqrt[3]{512}}})^2\)?
A. 1/16
B. 1/8
C. 1/2
D. 2
E. 8
A. 1/16
B. 1/8
C. 1/2
D. 2
E. 8
10 May 2017, 12:53
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Bunuel
Expression will become 512^(2*1/3*1/2*1/3)
So we are left with (512)^(1/3*1/3)
cube root of 512 is 8. So we are now left with 8^1/3 which is 2.
Answer is option D.
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11 May 2017, 03:17
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Bunuel wrote:
What is the value of \((\sqrt[3]{\sqrt{\sqrt[3]{512}}})^2\)?
A. 1/16
B. 1/8
C. 1/2
D. 2
E. 8
\((\sqrt[3]{\sqrt{\sqrt[3]{512}}})^2\) -------(cube root of 512 = 8)
= \((\sqrt[3]{\sqrt8})^2\) ------- (squaring \((\sqrt{8})^2\) we get 8 )
= \((\sqrt[3]{8})\)
= \((\sqrt[3]{8})\) = 2
Answer D...
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What is the value of \((\sqrt[3]{\sqrt{\sqrt[3]{512}}})^2\)?
A. 1/16
B. 1/8
C. 1/2
D. 2
E. 8
\((\sqrt[3]{\sqrt{\sqrt[3]{512}}})^2\) -------(cube root of 512 = 8)
= \((\sqrt[3]{\sqrt8})^2\) ------- (squaring \((\sqrt{8})^2\) we get 8 )
= \((\sqrt[3]{8})\)
= \((\sqrt[3]{8})\) = 2
Answer D...
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