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How do you simplify $\sqrt[6]{256}$ $root6(256)$ ?

1 Answer

Dec 14, 2016

$\sqrt[6]{256} = 2 \sqrt[3]{2}$ $root(6)(256)=2root(3)(2)$

Explanation:

$2^{6} = 64$ $2^6 = 64$

therefore
$\sqrt[6]{256} = \sqrt[6]{2^{6}} \cdot \sqrt[6]{4}$ $root(6)(256) = root(6)(2^6) * root(6)(4)$

$XXX = 2 \cdot \sqrt[6]{2^{2}}$ $color(white)("XXX")=2 * root(6)(2^2)$

$XXX = 2 \cdot \sqrt[3]{2}$ $color(white)("XXX")=2 * root(3)(2)$

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