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If a and b are integer and

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Senior Manager
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Joined: 22 Feb 2018
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If a and b are integer and  [#permalink]

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New post 20 Apr 2018, 05:56
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

59% (02:48) correct 41% (02:53) wrong based on 31 sessions

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If a and b are integer and \((\sqrt[3]{a} * \sqrt{b})^6=500\),then \(a+b\) could equal

    A:2
    B:3
    C:4
    D:5
    E:6

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Re: If a and b are integer and  [#permalink]

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New post 20 Apr 2018, 06:14
2
\(500 = 5^3* 2^2\)
Also\(( a^(1/3) *b^(1/2))^6 = a^2*b^3\)
Hence a can be 2, b can be 5.
But a+b =7.
It is not in the option. :?

Bingo: we have forgot the fact that even power changes negative to positive.
Actually a can be +/- 2 :angel:
Now considering a = -2, b =5
Hence a+b = -5+2 =3. Answer B
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Re: If a and b are integer and &nbs [#permalink] 20 Apr 2018, 06:14
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If a and b are integer and

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