\(\dfrac{7\sqrt{3}-3\sqrt{7}}{\sqrt{7}-\sqrt{3}}+\dfrac{4}{5-\sqrt{21}}-\dfrac{6\sqrt{7}}{\sqrt{3}}=\dfrac{\sqrt{3}\sqrt{7}\left(\sqrt{7}-\sqrt{3}\right)}{\sqrt{7}-\sqrt{3}}+\dfrac{4\left(5+\sqrt{21}\right)}{4}-\dfrac{\sqrt{252}}{\sqrt{3}}=\sqrt{21}+5+\sqrt{21}-2\sqrt{21}=5\)
1+2+3+4+5+6+7+8+9-1-2-3-4-5-6-7-8-9*1*2*3*4*5*6*7*8*9:1:2:3:4:5:6:7:8:9=???
Tính:
i) \(\sqrt{8-3\sqrt{7}}+\sqrt{4-\sqrt{7}}\)
j) \(\sqrt{5+\sqrt{21}}-\sqrt{5-\sqrt{21}}\)
k) \(\sqrt{9-3\sqrt{5}}-\sqrt{9+3\sqrt{5}}\)
Tính:
1) \(\sqrt{4-2\sqrt{3}}\)
2) \(\sqrt{5+2\sqrt{6}}\)
3) \(\sqrt{7-2\sqrt{10}}\)
4) \(\sqrt{14-6\sqrt{6}}\)
5) \(\sqrt{8+2\sqrt{15}}\)
6) \(\sqrt{10-2\sqrt{21}}\)
7) \(\sqrt{11+2\sqrt{18}}\)
LÀM CHI TIẾT GIÚP MK NHÉ!
1)11-12+13-14+15-16+17-18+19-20+21-22+.........+99-100
2)2-4+6-8+......+1998-2000
3)-1+3-5+7-....+97-99
4)1+2-3-4+.........+97+98-99-100
5)1-2+3-4+.............+99-100
6)1+3-5-7+......+97-98-99+100
7)2100-299-298-..........22-2-1
8)1-4+7-10+........+307-310+313
\(\frac{3\sqrt{7}-7\sqrt{3}}{\sqrt{3}-\sqrt{7}}\) - \(\frac{5}{\sqrt{21}-4}\)
Rút gọn bth sau:
a) (√7+√5)/(√7-√5)+(√7-√5)/(√7+√5)
b) (4+√2-√3-√6+√8)/(2+√2-√3)
c) M=(√3+1).√(14-6√3)/(5+√3)
Rút gọn các biểu thức sau
a)\(\left(\sqrt{14}+\sqrt{16}\right)\sqrt{5-\sqrt{21}}\)
b)\(\frac{5}{\sqrt{21}-4}+\frac{3\sqrt{7}-7\sqrt{3}}{\sqrt{7}-\sqrt{3}}\)
a.\(\sqrt{28a^4}\)
b. A=\(\left(\dfrac{\sqrt{21}-\sqrt{7}}{\sqrt{3-1}}+\dfrac{\sqrt{10}-\sqrt{5}}{\sqrt{2}-1}\right)\)\(\div\)\(\dfrac{1}{\sqrt{7}-\sqrt{5}}\)
c.\(\left\{{}\begin{matrix}\dfrac{3}{2x}-y=6\\\dfrac{1}{x}+2y=-4\end{matrix}\right.\)
Thực hiện phép tính (rút gọn biểu thức)
a)\(\left(\sqrt{3}-2\right)\sqrt{7+4\sqrt{3}}\)
b) \(\sqrt{6+\sqrt{32}}\) - \(\sqrt{11-\sqrt{72}}\)
c) \(\sqrt{21-4\sqrt{5}}\) + \(\sqrt{21+4\sqrt{5}}\)
