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(245^(1/2) - 75^(1/2))^2 =

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(245^(1/2) - 75^(1/2))^2 =  [#permalink]

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New post 28 Oct 2018, 22:31
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

92% (01:08) correct 8% (01:49) wrong based on 26 sessions

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(245^(1/2) - 75^(1/2))^2 =  [#permalink]

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New post Updated on: 28 Oct 2018, 23:11
\((a-b)^2 = a^2+b^2-2ab\)

\((\sqrt{245}-\sqrt{75})^2\)
= \(245+75-2\sqrt{245}\sqrt{75}\)
= \(320-2*7\sqrt{5}*5\sqrt{3}\)
= \(320-70\sqrt{15}\)

C is the answer.
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Originally posted by Afc0892 on 28 Oct 2018, 22:45.
Last edited by Afc0892 on 28 Oct 2018, 23:11, edited 1 time in total.
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Re: (245^(1/2) - 75^(1/2))^2 =  [#permalink]

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New post 28 Oct 2018, 23:08
\((a - b)^2 = a^2 + b^2 - 2ab\)

\((\sqrt{245} - \sqrt{75})^2\) = \(245 + 75 - 2 (7\sqrt{5}) (5\sqrt{3})\)

= \(320 - 70\sqrt{15}\)

OPTION : C
GMAT Club Bot
Re: (245^(1/2) - 75^(1/2))^2 = &nbs [#permalink] 28 Oct 2018, 23:08
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