Question

10-2√7/(-3)-√7 в виде d+e√7

Answer 1

$frac{10-2sqrt{7}}{-3-sqrt{7}} = frac{(10-2sqrt{7})(-3+sqrt{7})}{(-3-sqrt{7})(-3+sqrt{7})} = frac{(10-2sqrt{7})(-3+sqrt{7})}{-(3+sqrt{7})(-3+sqrt{7})} = frac{-30+6sqrt{7}+10sqrt{7}-2sqrt{7}sqrt{7}}{-(7-9)} =frac{16sqrt{7}-30-14}{-(-2)} = frac{16sqrt{7}-44}{2} = 8sqrt{7} -22$