Another crazy one...
3sqrt5y^5 divided by 6sqrt20xy
For this
3 square root 5y^5
___________________
6 square root 20xy
you can reduce the 3/6 to 1/2
then you can go and split up the bottom denominator of square root 20 into square root of 5y * square root of 4x and cancel out the sqrt 5y on both top and bottom ...remembering to subtract the y's when dividing the top by the bottom and thus subtracting the larger power y from the lower power y on the bottom getting y^4 on the top.
then you'd have:
(y^4/ sqrt 4x)(1/2) then get
y^4/4
That's it I think
For this
3 square root 5y^5
___________________
6 square root 20xy
you can reduce the 3/6 to 1/2
then you can go and split up the bottom denominator of square root 20 into square root of 5y * square root of 4x and cancel out the sqrt 5y on both top and bottom ...remembering to subtract the y's when dividing the top by the bottom and thus subtracting the larger power y from the lower power y on the bottom getting y^4 on the top.
then you'd have:
(y^4/ sqrt 4x)(1/2) then get
y^4/4
That's it I think