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19 Mar 2019, 02:17
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
65% (01:39) correct
35%
(01:52)
wrong
based on 455
sessions
History
Date
Time
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Not Attempted Yet
Simplify \(\sqrt[3]{x*\sqrt[3]{x*\sqrt[3]{x*\sqrt{x}}}}\)
(A) \(\sqrt{x}\)
(B) \(\sqrt[3]{x^2}\)
(C) \(\sqrt[27]{x^2}\)
(D) \(\sqrt[54]{x}\)
(E) \(\sqrt[81]{x^{80}}\)
(A) \(\sqrt{x}\)
(B) \(\sqrt[3]{x^2}\)
(C) \(\sqrt[27]{x^2}\)
(D) \(\sqrt[54]{x}\)
(E) \(\sqrt[81]{x^{80}}\)
19 Mar 2019, 04:15
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Bunuel
The video solution to the question is explained step-by-step here
Answer: Option A
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Screenshot 2019-03-19 at 4.43.42 PM.png [ 628.86 KiB | Viewed 4971 times ]
19 Mar 2019, 10:41
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Let's start from the inside of the given expression.
\(x^\frac{1}{2}* x = x^\frac{3}{2}\)
\(x^\frac{3*1}{2*3} = x^\frac{1}{2}\)
\(x^\frac{1}{2}* x = x^\frac{3}{2}\)
\(x^\frac{3*1}{2*3} = x^\frac{1}{2}\)
\(x^\frac{1}{2}* x = x^\frac{3}{2}\)
\(x^\frac{3*1}{2*3} = x^\frac{1}{2}\)
Hence, choose A.
\(x^\frac{1}{2}* x = x^\frac{3}{2}\)
\(x^\frac{3*1}{2*3} = x^\frac{1}{2}\)
\(x^\frac{1}{2}* x = x^\frac{3}{2}\)
\(x^\frac{3*1}{2*3} = x^\frac{1}{2}\)
\(x^\frac{1}{2}* x = x^\frac{3}{2}\)
\(x^\frac{3*1}{2*3} = x^\frac{1}{2}\)
Hence, choose A.
