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20^(1/2) + 45^(1/2) - 5^(1/2) - 80^(1/2) =

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Joined: 02 Sep 2009
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20^(1/2) + 45^(1/2) - 5^(1/2) - 80^(1/2) = [#permalink]

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New post 10 Sep 2017, 05:20
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (00:37) correct 16% (01:03) wrong based on 77 sessions

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20^(1/2) + 45^(1/2) - 5^(1/2) - 80^(1/2) = [#permalink]

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New post 10 Sep 2017, 07:55
Bunuel wrote:
\(\sqrt{20} + \sqrt{45} - \sqrt{5} - \sqrt{80}=\)

A. \(-2\sqrt{5}\)

B. \(-\sqrt{10}\)

C. 1

D. \(\sqrt{5}\)

E. 0

\(\sqrt{20} + \sqrt{45} - \sqrt{5} - \sqrt{80}=\)

Use the rule that \(\sqrt{ab} =
\sqrt{a}\sqrt{b}\)

Factor values under the radical signs

\(\sqrt{4*5} + \sqrt{9*5} - \sqrt{5} - \sqrt{16*5}=\)

\(2\sqrt{5} + 3\sqrt{5} - \sqrt{5} - 4\sqrt{5} = 0\)

Answer
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Re: 20^(1/2) + 45^(1/2) - 5^(1/2) - 80^(1/2) = [#permalink]

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New post 10 Sep 2017, 08:43
Bunuel wrote:
\(\sqrt{20} + \sqrt{45} - \sqrt{5} - \sqrt{80}=\)

A. \(-2\sqrt{5}\)

B. \(-\sqrt{10}\)

C. 1

D. \(\sqrt{5}\)

E. 0

\(\sqrt{20} + \sqrt{45} - \sqrt{5} - \sqrt{80}\)

\(\sqrt{2*2*5} + \sqrt{3*3*5} - \sqrt{5} - \sqrt{4*4*5}\)

\(2\sqrt{5} + 3\sqrt{5} - \sqrt{5} - 4\sqrt{5}\)

\(\sqrt{5} (2 + 3 - 1 - 4)\)

\(\sqrt{5} (5-5)\)

\(\sqrt{5} (0) = 0\)

Answer (E)...
Re: 20^(1/2) + 45^(1/2) - 5^(1/2) - 80^(1/2) =   [#permalink] 10 Sep 2017, 08:43
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