Chứng minh 25(6^99+6^98+6^97+...+6^2+6+1)+5:6^10
7+7^2+7^3+..+7^4n (n thuộc N*
a) 11+6\(\sqrt{2}\) = \(\left(3+\sqrt{2}\right)^2\)
b) 8-2\(\sqrt{7}\)=\(\left(\sqrt{7}-1\right)^2\)
c)\(\sqrt{11+6\sqrt{2}}=\sqrt{11-6\sqrt{2}}=6\)
d) \(\sqrt{8-2\sqrt{7}}-\sqrt{8+2\sqrt{7}}=-2\)
* Thực hiện phép tính:
a. \(\dfrac{\sqrt{7}-5}{2}-\dfrac{6-2\sqrt{7}}{4}+\dfrac{6}{\sqrt{7}-2}-\dfrac{5}{4+\sqrt{7}}\)
b. \(\dfrac{2}{\sqrt{6}-2}+\dfrac{2}{\sqrt{6}+2}+\dfrac{5}{\sqrt{6}}\)
c. \(\dfrac{1}{\sqrt{3}+\sqrt{2}-\sqrt{5}}-\dfrac{1}{\sqrt{3}+\sqrt{2}+\sqrt{5}}\)
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=???
Rút gọn biểu thức √(7+2√6)^(2)−√(7−2√6)^(2)
Rút gọn biểu thức:
a) 4^5 . 9^4 - 2 . 6^9 / 2^10 . 3^8 + 6^8 .20
b)2 . 8^4 . 27^2 + 4 . 6^9 / 2^7 . 6^7 + 2^7 . 40 .9^4
1+1+1=6
2+2+2=6
3×3÷3=6
√4+√4+√4=6
5+5÷5=6
6×6÷6=6
7 ? 7 ? 7=6
8 ? 8 ? 8 =6
9 ? 9 ? 9=6
10 ? 10 ? 10=6
Tính:
\(\sqrt{7+2\sqrt{6}}-\sqrt{7-2\sqrt{6}}\)
thực hiện phép tính sau:
\(\frac{\sqrt{7}-5}{2}-\frac{6-2\sqrt{7}}{4}+\frac{6}{\sqrt{7}-2}-\frac{5}{4+\sqrt{7}}\)