How do you simplify #sqrt(15xy)/(3sqrt(10xy^3))#?

Question

3287 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-12T14:11:37

enter image source here

please follow the picture . I am too lazy to type in keybord :(

Answer 2 · 2018-05-12T15:17:35

#sqrt6/(6y)#

Combine the two roots into one. Then simplify.

#sqrt(15xy)/(3sqrt(10xy^3)) = 1/3sqrt((15cancelxy)/(10cancelxy^3)#

#= 1/3sqrt(3/(2y^2)#

#=1/(3y)sqrt3/sqrt2" "larr# rationalise the denominator.

#=1/(3y)sqrt3/sqrt2 xx sqrt2/sqrt2#

#= (sqrt3 xxsqrt2)/(3yxx2)#

#=sqrt6/(6y)#