Question

Đã trả lời bởi chuyên gia

Answer 1

$(\frac{3 \sqrt{5} - \sqrt{15}}{\sqrt{27} - 3} + \frac{\sqrt{125}}{2}) . \frac{1}{\sqrt{5}} = (\frac{3 \sqrt{5} - \sqrt{15}}{3 \sqrt{3} - 3} + \frac{5 \sqrt{5}}{2}) . \frac{1}{\sqrt{5}} = \frac{6 \sqrt{5} - 2 \sqrt{15} + 15 \sqrt{5} . (\sqrt{3} - 1)}{6 . (\sqrt{3} - 1)} . \frac{1}{\sqrt{5}} = \frac{6 \sqrt{5} - 2 \sqrt{15} + 15 \sqrt{15} - 15 \sqrt{5}}{6 . (\sqrt{3} - 1)} . \frac{1}{\sqrt{5}} = \frac{13 \sqrt{15} - 9 \sqrt{5}}{6 . (\sqrt{3} - 1)} . \frac{1}{\sqrt{5}} = \frac{\sqrt{5} . (13 \sqrt{3} - 9)}{6 (\sqrt{3} - 1)} . \frac{1}{\sqrt{5}} = \frac{13 \sqrt{3} - 9}{6 . (\sqrt{3} - 1)} = \frac{(13 \sqrt{3} - 9) . (\sqrt{3} + 1)}{6 . (3 - 1)} = \frac{13.3 + 13 \sqrt{3} - 9 \sqrt{3} - 9}{6.2} = \frac{30 + 4 \sqrt{3}}{12} = \frac{15 + 2 \sqrt{3}}{6}$ .

...Xem thêm

Answer 2

$(\frac{3 \sqrt{5} - \sqrt{15}}{\sqrt{27} - 3} + \frac{\sqrt{125}}{2}) . \frac{1}{\sqrt{5}} = (\frac{3 \sqrt{5} - \sqrt{15}}{3 \sqrt{3} - 3} + \frac{5 \sqrt{5}}{2}) . \frac{1}{\sqrt{5}} = \frac{6 \sqrt{5} - 2 \sqrt{15} + 15 \sqrt{5} . (\sqrt{3} - 1)}{6 . (\sqrt{3} - 1)} . \frac{1}{\sqrt{5}} = \frac{6 \sqrt{5} - 2 \sqrt{15} + 15 \sqrt{15} - 15 \sqrt{5}}{6 . (\sqrt{3} - 1)} . \frac{1}{\sqrt{5}} = \frac{13 \sqrt{15} - 9 \sqrt{5}}{6 . (\sqrt{3} - 1)} . \frac{1}{\sqrt{5}} = \frac{\sqrt{5} . (13 \sqrt{3} - 9)}{6 (\sqrt{3} - 1)} . \frac{1}{\sqrt{5}} = \frac{13 \sqrt{3} - 9}{6 . (\sqrt{3} - 1)} = \frac{(13 \sqrt{3} - 9) . (\sqrt{3} + 1)}{6 . (3 - 1)} = \frac{13.3 + 13 \sqrt{3} - 9 \sqrt{3} - 9}{6.2} = \frac{30 + 4 \sqrt{3}}{12} = \frac{15 + 2 \sqrt{3}}{6}$ .

Answer 3

(3√5−√15√27−3+√1252).1√5=(3√5−√153√3−3+5√52).1√5=6√5−2√15+15√5.(√3−1)6.(√3−1).1√5=6√5−2√15+15√15−15√56.(√3−1).1√5=13√15−9√56.(√3−1).1√5=√5.(13√3−9)6(√3−1).1√5=13√3−96.(√3−1)=(13√3−9).(√3+1)6.(3−1)=13.3+13√3−9√3−96.2=30+4√312=15+2√3635-1527-3+1252.15=35-1533-3+552.15=65-215+155.3-16.3-1.15=65-215+1515-1556.3-1.15=1315-956.3-1.15=5.133-963-1.15=133-96.3-1=133-9.3+16.3-1=13.3+133-93-96.2=30+4312=15+236.

2 câu trả lời 525

Câu hỏi hot cùng chủ đề

Bài viết mới nhất Lớp 9