How do you simplify $\sqrt{20} - \sqrt{75}$ $sqrt20-sqrt75$ ?

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Answer 1 · 2016-06-14T23:48:21

$2 \sqrt{5} - 5 \sqrt{3}$ $2sqrt5-5sqrt3$

In order to simplify we must first factor each of the radicals.

$\sqrt{20} - \sqrt{75}$ $sqrt20-sqrt75$

$\sqrt{2 \cdot 2 \cdot 5} - \sqrt{5 \cdot 5 \cdot 3}$ $sqrt(2*2*5)-sqrt(5*5*3)$

Each pair comes outside the radical.

$2 \sqrt{5} - 5 \sqrt{3}$ $2sqrt5-5sqrt3$

How do you simplify √20−√75sqrt20-sqrt75?