How do you simplify $\frac{15 - \sqrt{75}}{5}$ $(15-sqrt75)/5$ ?

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Answer 1 · 2016-09-07T14:56:18

$3 - \sqrt{3}$ $3-sqrt(3)$

Given: $\frac{15 - \sqrt{75}}{5}$ $" "(15-sqrt(75))/5$

$15 \to 3 \times 5$ $15 -> 3xx5$
$75 \to 3 \times 25 \to 3 \times 5^{2}$ $75->3xx25 -> 3xx5^2$

Write as:

$\frac{(3 \times 5) - \sqrt{3 \times 5^{2}}}{5}$ $((3xx5)-sqrt(3xx5^2))/5$

$\frac{(3 \times 5) - 5 \sqrt{3}}{5}$ $((3xx5)-5sqrt(3))/5$

$\frac{5 (3 - \sqrt{3})}{5}$ $(5(3-sqrt(3)))/5$

$3 - \sqrt{3}$ $3-sqrt(3)$

How do you simplify 15−√755(15-sqrt75)/5?