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[[(900)^1/2]^3]/3 =

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Sajjad1994
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[[(900)^1/2]^3]/3 = [#permalink] New post   24 Sep 2020, 07:11
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Question Stats:

88% (00:49) correct 12% (01:11) wrong based on 131 sessions
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\(\frac{[\sqrt{900}]^3}{3} =\)

(A) 9

(B) 27

(C) 900

(D) 9000

(E) 27000
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D
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Re: [[(900)^1/2]^3]/3 = [#permalink] New post   24 Sep 2020, 07:29
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hi i think 9000 should be the option as 27000/3=9000
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Re: [[(900)^1/2]^3]/3 = [#permalink] New post   24 Sep 2020, 07:54
Sqrt(900) = 30
[sqrt(900)]^3 = 30^3 = 27000
{[sqrt(900)]^3} / 3 = 27000/3 = 9000
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Re: [[(900)^1/2]^3]/3 = [#permalink] New post   24 Sep 2020, 10:09
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Sajjad1994 wrote:
\(\frac{[\sqrt{900}]^3}{3} =\)

(A) 9

(B) 27

(C) 900

(D) 9000

(E) 27000


\(\sqrt{900} = \sqrt{9 * 100} = 3 * 10\)

\(\frac{[\sqrt{900}]^3}{3} =\frac{(3*10)^3 }{ 3} = 3^2 * 10^3 = 9000\)

Ans: D
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Re: [[(900)^1/2]^3]/3 = [#permalink] New post   24 Sep 2020, 10:19
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Sajjad1994 wrote:
\(\frac{[\sqrt{900}]^3}{3} =\)

(A) 9

(B) 27

(C) 900

(D) 9000

(E) 27000
\(\frac{[\sqrt{900}]^3}{3}\)

Or, \(\frac{[30]^3}{3}\)

Or, \(\frac{30*30*30}{3}\)

Or, \(10*30*30\)

Or, \(9000\), Answer must be (D)
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Re: [[(900)^1/2]^3]/3 = [#permalink] New post   01 Oct 2020, 10:52
Expert Reply
Sajjad1994 wrote:
\(\frac{[\sqrt{900}]^3}{3} =\)

(A) 9

(B) 27

(C) 900

(D) 9000

(E) 27000

Solution:

Since √900 = 30, then 30^3/3 = 27000/3 = 9000.

Answer: D
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Re: [[(900)^1/2]^3]/3 = [#permalink]
01 Oct 2020, 10:52
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