How do you simplify sqrt(32x^3)?

1 Answer
Mar 14, 2016

=4 xsqrt( 2 x

Explanation:

sqrt(32x^3

=sqrt (32 * color(purple) ( x^2) * x^1

  • Simplifying sqrt32

sqrt(32) = sqrt(2*2*2*2*2) = sqrt(color(blue)(2^2 * 2^2) * 2)=color(blue)( 2 *2) sqrt2 = 4 sqrt2

The expression becomes:

sqrt (32 * color(purple)( x^2) * x^1 ) = 4 sqrt( 2 * color(purple)(x^2) * x^1

=4 * color(purple)(x)sqrt( 2 * x^1

=4 xsqrt( 2 x