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Quoc Tran Anh Le Coordinator

07/08/2018 at 02:07
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Rules of exponents: \(\sqrt{\sqrt{\sqrt{256}}}=?\)


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    Sherlockkichi 07/08/2018 at 02:33

    Sorry, edit the section \(\sqrt[8]{25+6}\) in \(\sqrt[8]{256}\) 

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    Sherlockkichi 07/08/2018 at 02:29

    \(\sqrt{\sqrt{\sqrt{256}}}=\left(\sqrt{256}\right)^{\dfrac{1}{2}.\dfrac{1}{2}}=\left(256\right)^{\dfrac{1}{4}}=\sqrt[4]{\sqrt[]{256}}=\left(256^{\dfrac{1}{2}}\right)^{\dfrac{1}{4}}=256^{\dfrac{1}{2}.\dfrac{1}{4}}=256^{\dfrac{1}{8}}=\sqrt[8]{25+6}\)

    \(=2\Rightarrow\sqrt{\sqrt{\sqrt{256}}=2}\)


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