How to solve?

#sqrt(14)-sqrt((14)/7)#

1 Answer
Mar 29, 2018

Answer:

see a process solution below;

Explanation:

#sqrt14 - sqrt(14/7)#

#sqrt14 - sqrt14/sqrt7#

#sqrt14 - sqrt14/sqrt7 xx color(blue)(sqrt7/sqrt7)-> "rationalisation"#

#sqrt14 - sqrt98/7#

#sqrt14 - sqrt(2 xx 49)/7#

#sqrt14 - sqrt(2 xx 49)/7#

#sqrt14 - (sqrt2 xx sqrt49)/7#

#sqrt14 - (sqrt2 xx 7)/7#

#sqrt14 - (7sqrt2)/7#

#sqrt14 - (cancel7sqrt2)/cancel7#

#sqrt14 - sqrt2#