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Question

$sqrt(14)-sqrt((14)/7)$

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Answer 1 · 2018-03-29T19:34:10

see a process solution below;

$sqrt14 - sqrt(14/7)$

$sqrt14 - sqrt14/sqrt7$

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

$sqrt14 - sqrt98/7$

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

$sqrt14 - (sqrt2 xx sqrt49)/7$

$sqrt14 - (sqrt2 xx 7)/7$

$sqrt14 - (7sqrt2)/7$

$sqrt14 - (cancel7sqrt2)/cancel7$

$sqrt14 - sqrt2$