5+5+5+5+5+5+5+5+5+5+5+(-5 + -2)*98624514
\(\left(\sqrt{5+\sqrt{5}}+\sqrt{5-\sqrt{5}}-\sqrt{\frac{5}{2}+\sqrt{5}}\right)^2+\left(\sqrt{5+\sqrt{5}}-\sqrt{5-\sqrt{5}}-\sqrt{\frac{5}{2}-\sqrt{5}}\right)^2\)
trục căn thức và thực hiện phép tính
1) \(\left(1-\dfrac{5+\sqrt{5}}{1+\sqrt{5}}\right)\left(\dfrac{5-\sqrt{5}}{1-\sqrt{5}}-1\right)\)
2) \(\left(\dfrac{5-2\sqrt{5}}{2-\sqrt{5}}-2\right)\left(\dfrac{5+3\sqrt{5}}{3+\sqrt{5}}-2\right)\)
\(\frac{5+\sqrt{5}}{5-\sqrt{5}}\)+\(\frac{5-\sqrt{5}}{5+\sqrt{5}}\)Thu gọn
\(\frac{5+2\sqrt{5}}{\sqrt{5}}-\frac{5+\sqrt{5}}{1+\sqrt{5}}+\left(2+\sqrt{5}\right)\)
\(\frac{5+\sqrt{5}}{\sqrt{5}+2}+\frac{5}{\sqrt{5}-1}-\frac{3\sqrt{5}}{3+\sqrt{5}}\)
\(B=[\frac{5-\sqrt{5}}{\sqrt{5}}-5].[\frac{5+\sqrt{5}}{1+\sqrt{5}}+6]\)
\(D=\frac{5+\sqrt{5}}{\sqrt{5}+2}+\frac{\sqrt{5}-5}{\sqrt{5}}-\frac{11}{2\sqrt{5}+3}\)
11) \(\dfrac{5+\sqrt{5}}{5-\sqrt{5}}\) + \(\dfrac{5-\sqrt{5}}{5+\sqrt{5}}\)
12) \(\dfrac{3+2\sqrt{3}}{\sqrt{3}}\) + \(\dfrac{2+\sqrt{2}}{\sqrt{2}+1}\) - \(\dfrac{1}{2-\sqrt{3}}\)
Cho hệ phương trình sau:
{x+y√5=0x√5+3y=1−√5{x+y5=0x5+3y=1−5
Ta tìm được nghiệm của hệ là :
A x=√5−52;y=−√5−12x=5−52;y=−5−12
B x=√5−52;y=√5−12x=5−52;y=5−12
C x=1−√52,y=−√5+52x=1−52,y=−5+52
D x=−√5+52;y=√5−12x=−5+52;y=5−12