How do you simplify #(sqrt(20xy^17)) div( sqrt(5xy))#?

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Answer 1 · 2018-05-04T13:50:11

#2y^8#

Use of of the properties of radical signs:

#sqrta/sqrtb = sqrt(a/b)#

#sqrt(20xy^17) /sqrt(5xy) = sqrt((20xy^17)/(5xy))#

Now you can simplify:

#sqrt((20xy^17)/(5xy))#

#=sqrt(4y^16)#

#=2y^8#