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Đáp án:
$2$
Giải thích các bước giải:
$(4 + \sqrt{15})(\sqrt{10} - \sqrt{6}).\sqrt{4 - \sqrt{15}}$
$= (4 + \sqrt{15})(\sqrt{5} - \sqrt{3}).\sqrt{2}.\sqrt{4 - \sqrt{15}}$
$= (4 + \sqrt{15})(\sqrt{5} - \sqrt{3}).\sqrt{8 - 2\sqrt{15}}$
$= (4 + \sqrt{15})(\sqrt{5} - \sqrt{3}).\sqrt{5 - 2\sqrt{15} + 3}$
$= (4 + \sqrt{15})(\sqrt{5} - \sqrt{3}).\sqrt{(\sqrt{5} - \sqrt{3})^2}$
$= (4 + \sqrt{15})(\sqrt{5} - \sqrt{3}).|\sqrt{5} - \sqrt{3}|$
$= (4 + \sqrt{15})(\sqrt{5} - \sqrt{3})(\sqrt{5} - \sqrt{3})$
$= (4 + \sqrt{15})(8 - 2\sqrt{15})$
$= (4 + \sqrt{15})(4 - \sqrt{15}).2$
$= (16 - 15).2$
$= 2$
