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Which is greater root 6! of 6! or root 4 of 4!

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Which is greater root 6! of 6! or root 4 of 4! [#permalink] New post   13 Nov 2023, 01:40
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Quantity A
Quantity B
\(\sqrt[6]{6!}\)
\(\sqrt[4]{4!}\)




A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



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Ayammali602
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Re: Which is greater root 6! of 6! or root 4 of 4! [#permalink] New post   13 Nov 2023, 19:43
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Square for both sides twice then cubic power. it will be (6x 5 x4 !) power 2 and 4! power 3 then, divided both sides by 4! power two so, the 6 x5 power two will be more than 4!.
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Re: Which is greater root 6! of 6! or root 4 of 4! [#permalink]
13 Nov 2023, 19:43
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