How do you simplify $sqrt(8x^2 y)$ ?

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Answer 1 · 2016-03-10T15:50:55

$= 2 x sqrt ( 2 y$

$sqrt (8x^2y$

Simplifying $8$ by prime factorisation:
$sqrt8 = sqrt(2*2*2)= sqrt(2^3)$

$sqrt (8x^2y) = sqrt (2^3 x^2y$

$= sqrt (color(blue)(2^2) * 2 * color(blue)( x^2) * y$

$= color(blue)(2 * x) sqrt ( 2 * y$

$= 2 x sqrt ( 2 y$

How do you simplify sqrt(8x^2 y)sqrt(8x^2 y)?