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

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Answer 1 · 2018-03-29T19:34:10

see a process solution below;

#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 - (sqrt2 xx sqrt49)/7#

#sqrt14 - (sqrt2 xx 7)/7#

#sqrt14 - (7sqrt2)/7#

#sqrt14 - (cancel7sqrt2)/cancel7#

#sqrt14 - sqrt2#