BTGmoderatorDC wrote:Of the following, which is greatest?
A. \(3\sqrt{2}\)
B. \(2\sqrt{3}\)
C. \(\frac{4\sqrt{3}}{5}\)
D. \(\frac{5\sqrt{2}}{4}\)
C. \(\frac{7}{\sqrt{3}}\)
OA A
Source: Official Guide
Since numbers in all options are in square roots, let's square them and compare.
A. \(3\sqrt{2}\): Square of \(3\sqrt{2}\) = 18
B. \(2\sqrt{3}\): Square of \(2\sqrt{3}\) = 12 < 18, Option A
C. \(\frac{4\sqrt{3}}{5}\): Square of \(\frac{4\sqrt{3}}{5}\) = 16*3/25 = 48/25 < 18, Option A
D. \(\frac{5\sqrt{2}}{4}\): Square of \(\frac{5\sqrt{2}}{4}\) = 25/8 < 18, Option A
C. \(\frac{7}{\sqrt{3}}\): Square of \(\frac{7}{\sqrt{3}}\) = 49/3 = 16.33 < 18, Option A
The correct answer:
A
Hope this helps!
-Jay
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