How do you simplify $root3(8x^4y^5)$ ?

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Answer 1 · 2016-07-16T10:58:33

$2xycolor(white)(.)root(3)(xy^2)$

Method: look for values you can write as cubed then take them outside the cube root

$8->2^2$
$x^4->x^3x$
$y^5->y^3y^2$

Write as: $" "root(3)(2^3x^3xy^3y^2)$

Taking the cubed values outside the root

$2xycolor(white)(.)root(3)(xy^2)$

How do you simplify root3(8x^4y^5) root3(8x^4y^5)?