A positive number \(x\) is multiplied by 2, and this product is then divided by 3. If the positive square root of the

[Vincen]

A positive number \(x\) is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals \(x,\) what is the value of \(x ?\)

(A) 9/4
(B) 3/2
(C) 4/3
(D) 2/3
(E) 1/2


[spoiler]OA=D[/spoiler]

Source: Official Guide

[swerve]

A positive number \(x\) is multiplied by 2, and this product is then divided by 3. If the positive square root of the result of these two operations equals \(x,\) what is the value of \(x ?\)

(A) 9/4
(B) 3/2
(C) 4/3
(D) 2/3
(E) 1/2


[spoiler]OA=D[/spoiler]

Source: Official Guide

Asked: What is the value of \(x\)?

\(\sqrt{\dfrac{2x}{3}}=x\)
\(\dfrac{2x}{3}=x^2\)
\(x = \dfrac{2}{3}\)

Therefore, D