Question

помогите упростить выражение

Answer 1

Ответ:

Пошаговое объяснение:

$\frac{2-2\sqrt{2}+\sqrt{3}-\sqrt{5} -\sqrt{6} +\sqrt{10}}{2+\sqrt{3}-\sqrt{5}}$=

=$\frac{(2+\sqrt{3}-\sqrt{5})-(2\sqrt{2} +\sqrt{6} -\sqrt{10})}{2+\sqrt{3}-\sqrt{5}}$=

=$\frac{(2+\sqrt{3}-\sqrt{5})-\sqrt{2} (2 +\sqrt{3} -\sqrt{5})}{2+\sqrt{3}-\sqrt{5}}$=

=$\frac{(2+\sqrt{3}-\sqrt{5})(1-\sqrt{2})}{2+\sqrt{3}-\sqrt{5}}$=

=$1-\sqrt{2}$

$15\sqrt{1.04} -\frac{3}{4} \sqrt{5\frac{5}{9} } +6\sqrt{\frac{1}{18}}-(5\sqrt{0.02}-\sqrt{300})$=

=$\sqrt{225*1.04} -\frac{1}{4} \sqrt{\frac{50*9}{9} } +2\sqrt{\frac{9}{18}}-\sqrt{25*0.02}+10\sqrt{3}$=

=$\sqrt{234} -\frac{5}{4} \sqrt{2} +\sqrt{\frac{36}{18}}-\sqrt{0.5}+10\sqrt{3}$=

=$3\sqrt{26} -\frac{5}{4} \sqrt{2} +\sqrt{2}-\frac{1}{2} \sqrt{2}+10\sqrt{3}$=

= $3\sqrt{26} -\frac{3}{4} \sqrt{2}+10\sqrt{3}$

$\frac{(\sqrt{2} +\sqrt{3})(2-\sqrt{6} +\sqrt{7})-\sqrt{21}}{\sqrt{7}-1}$=

=$\frac{(\sqrt{2} +\sqrt{3})(2-\sqrt{2}\sqrt{3}+\sqrt{7})-\sqrt{3}\sqrt{7} }{\sqrt{7}-1}$=

=$\frac{2\sqrt{2}-2\sqrt{3}+\sqrt{2}\sqrt{7}+2\sqrt{3}-3\sqrt{2}+\sqrt{3}\sqrt{7}-\sqrt{3}\sqrt{7}}{\sqrt{7}-1}$=

=$\frac{2\sqrt{2}+\sqrt{2}\sqrt{7}-3\sqrt{2}}{\sqrt{7}-1}$=

=$\frac{\sqrt{2}\sqrt{7}-\sqrt{2}}{\sqrt{7}-1}$=

=$\frac{\sqrt{2}(\sqrt{7}-1)}{\sqrt{7}-1}=\sqrt{2}$

Answer 2

Ответ: во вложении Пошаговое объяснение: