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# If a and b are integers and

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If a and b are integers and [#permalink]  21 Nov 2018, 09:54
Expert's post
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Question Stats:

71% (01:00) correct 28% (00:33) wrong based on 7 sessions
If a and b are integers and $$( \sqrt[3]{a} * \sqrt{b} )^6 = 500$$, the $$a + b$$ could equal

A. 2

B. 3

C. 4

D. 5

E. 6
[Reveal] Spoiler: OA

_________________
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Re: If a and b are integers and [#permalink]  23 Nov 2018, 13:29
Carcass wrote:
If a and b are integers and $$( \sqrt[3]{a} * \sqrt{b} )^6 = 500$$, the $$a + b$$ could equal

A. 2

B. 3

C. 4

D. 5

E. 6

(a^1/3 * b^1/2)^6 = a^2 * b^3 = 500

500 = 5 * 100 = 5 * 10 * 10 = 5 * 2 * 5 * 2 * 5 = 2^2 * 5*^3

2^2 * 5^3 = 4 * 125 = 500

a = -2 or 2

2 + 5 = 7 or -2 + 5 = 3

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Re: If a and b are integers and [#permalink]  27 Nov 2018, 06:53
is it from the book?
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Re: If a and b are integers and [#permalink]  27 Nov 2018, 06:54
thanks alot
Re: If a and b are integers and   [#permalink] 27 Nov 2018, 06:54
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