How do you simplify $sqrt(72x^2 y^3)$ ?

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Answer 1 · 2016-03-14T18:19:01

$= 6 xy sqrt( 2 y$

$sqrt (72x^2y^3$

Simplifying $sqrt72 = sqrt (3*3*2*2*2) = sqrt(color(green)(3^2 *2^2) *2) = color(green)(3*2) sqrt2 =color(green)( 6) sqrt2$

The expression becomes:
$sqrt (72x^2y^3)=color(green)( 6) sqrt( 2 * x^2y^3$

$= 6 sqrt( 2 * color(blue)(x^2 * y ^ 2) * y^1$

$= 6 * color(blue)( x y ) sqrt( 2 * y^1$

$= 6 xy sqrt( 2 y$

How do you simplify sqrt(72x^2 y^3)sqrt(72x^2 y^3)?