Question

How do you simplify this radical: (√10 + √6)(√30 - √18)?

Answer 1

$(\sqrt{10} + \sqrt{6})(\sqrt{30} - \sqrt{18})$
$\sqrt{100} - \sqrt{180} + \sqrt{180} - \sqrt{108}$
$10 - 6\sqrt{5} + 6\sqrt{5} - 6\sqrt{3}$
$10 - 6\sqrt{3}$