The value of [tex]\sqrt[3]{x}[/tex] where x is an integer, is located between 6 and 7 on the number line. What could be the value of x?

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bitteroceans bitteroceans

02-04-2019
Mathematics

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The value of [tex]\sqrt[3]{x}[/tex] where x is an integer, is located between 6 and 7 on the number line. What could be the value of x?

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Tucon Tucon · Answer 1 · 2019-04-02T12:49:52+02:00

Tucon Tucon

02-04-2019

[tex]\displaystyle\\6<\sqrt[3]{x}<7~~~\Big|^3\\\\6^3<\Big(\sqrt[3]{x}\Big)^3<7^3\\\\216<x<343\\\\\boxed{x\in\{217,~218,~219,~220,~\cdots~,~340,~341,~342\}}[/tex]

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lbuckau2 lbuckau2 · Answer 2 · 2019-04-02T14:07:56+02:00

lbuckau2 lbuckau2

02-04-2019

Answer:

Step-by-step explanation:

The value would be 6.5

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