Plato Classroom Question #18

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Plato Classroom Question #18

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Simplify $\sqrt[4]{256a^2b^4}$ .

$\color{green}\boxed{{\color{navy}x}~{\color{lightblue}x}^{\color{navy}y}~{\color{black}\frac{\color{navy}x}{\color{navy}y}}~\color{black}\sqrt{\color{navy}x}~~{\color{navy}+~~-~\times}}$

$\color{red}\boxed{{\color{black}\sqrt[\color{navy}y]{\color{lightblue}x}}}$

SpaceModo Jan 26, 2018

edited by SpaceModo Jan 26, 2018
edited by SpaceModo Jan 26, 2018

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ElectricPavlov · Answer 1 · 2018-01-26T11:16:07

4 x 4 x 4 x 4 = 256

=4ba^(1/2)

I do not know what the rest of your question means.....

Melody · Answer 2 · 2018-01-27T09:34:05

I beg to differ just a little EP

By convention the answer must be positive and we do not know if a or b is pos or neg.

$\sqrt[4]{256a^2b^4}\\ =\sqrt[2]{16|a|b^2}\\ =4\sqrt{|a|}|b|\\ =|\;4b\sqrt{|a|}\;|\\ or\\ =|\;4b|a|^{1/2}\;|\\$

Plato Classroom Question #18

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Plato Classroom Question #18

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