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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2505
Given Kudos: 1055
GPA: 3.39
If 3 2x^(1/2) = 2, then x =
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20 Mar 2020, 23:38
20 Mar 2020, 23:38
Expert Reply
00:00
Question Stats:
73% (00:30) correct
26% (01:12) wrong based on 15 sessions
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If \(3 \sqrt{2x} = 2\), then \(x =\)
(A) 1/18
(B) 2/9
(C) 1/3
(D) 5/4
(E) 3
(A) 1/18
(B) 2/9
(C) 1/3
(D) 5/4
(E) 3
Re: If 3 2x^(1/2) = 2, then x =
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11 Apr 2020, 21:25
11 Apr 2020, 21:25
1
Squaring both sides, we get-----> 9 * 2x = 4
x = 4/18 = 2/9
x = 4/18 = 2/9
MyGuru Representative
Joined: 09 Apr 2020
Posts: 35
Given Kudos: 0
Re: If 3 2x^(1/2) = 2, then x =
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18 Apr 2020, 19:21
18 Apr 2020, 19:21
1
Expert Reply
GeminiHeat wrote:
If \(3 \sqrt{2x} = 2\), then \(x =\)
(A) 1/18
(B) 2/9
(C) 1/3
(D) 5/4
(E) 3
(A) 1/18
(B) 2/9
(C) 1/3
(D) 5/4
(E) 3
Process of elimination can help out here. Since 2 is an integer, and 3 is an integer, whatever goes under the √ sign needs to be a number that you can easily take a square root of (fractions are ok!). Rule out C, D, and E.
Now try out A and B. A gives you
\(3\sqrt{\frac{2}{18}}=3\sqrt{\frac{1}{9}}=3*\frac{1}{3}=1\). Rule it out.
B gives you \(3\sqrt{\frac{4}{9}}=3*\frac{2}{3}=2\).
Answer: B
