How do you simplify #sqrt(15/7)#?

1 Answer
Nov 14, 2017

Answer:

#sqrt(105)/7#

or

#15/sqrt(105#

Explanation:

Regular Calculator Answer:

#sqrt(15/7)=sqrt((15*7)/(7*7))=sqrt((105)/(49))=sqrt(105)/sqrt(49)=sqrt(105)/7#

Alternative Answer:

#sqrt(15/7)=sqrt((15*15)/(7*15))=sqrt((225)/(105))=sqrt(225)/sqrt(105)=15/sqrt(105#

and of course

#sqrt(105)/7=15/sqrt(105#