How do you simplify #sqrt(625x^3)/sqrt(64x^2)#?

Question

1635 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-07-07T03:27:41

#=color(blue)(25/8x^(1/2)#

we know :

#sqrt625 =color(green)(25#

#sqrt64 =color(green)( 8#

Rewriting the expression:

#(25sqrt(x^3))/(8sqrt(x^2))#

#=(25x^(3. color(blue)( (1/2))))/(8x^(cancel2 . color(blue)((1/cancel2))#

#=(25x^(3/2))/(8x^1)#

#=(25/8) . x^color(blue)((3/2-1))#

#=color(blue)(25/8x^(1/2)#