How do you simplify $(15-sqrt75)/5$ ?

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Answer 1 · 2016-09-07T14:56:18

$3-sqrt(3)$

Given: $" "(15-sqrt(75))/5$

$15 -> 3xx5$
$75->3xx25 -> 3xx5^2$

Write as:

$((3xx5)-sqrt(3xx5^2))/5$

$((3xx5)-5sqrt(3))/5$

$(5(3-sqrt(3)))/5$

$3-sqrt(3)$

How do you simplify (15-sqrt75)/5(15-sqrt75)/5?