Các câu hỏi tương tự
Rút gọn
1) \(E=\left(\sqrt{11}-3\right)\left(\sqrt{13-\sqrt{6}+2\sqrt{30-\sqrt{54}}}+\sqrt{11}-\sqrt{10-\sqrt{6}}\right)\)
2) \(F=\frac{\left(\sqrt{3-\sqrt{5}}-1\right)\left(\sqrt{3-\sqrt{5}}\left(3-\sqrt{5}\right)+1\right)}{4-\sqrt{5}-\sqrt{3-\sqrt{5}}}+\sqrt{5}\)
20 tháng 10 2021 lúc 10:26
Rút gọn
a)\(\sqrt{20}-15\sqrt{\dfrac{1}{5}}+\sqrt{\left(1-\sqrt{5}\right)^2}\)
b)\(\left(\dfrac{14}{\sqrt{14}}+\dfrac{\sqrt{12}+\sqrt{30}}{\sqrt{2}+\sqrt{5}}\right).\sqrt{5-\sqrt{21}}\)
lm giúp mik vs ạ
tính giá trị biểu thức
a)\(\sqrt{3+2\sqrt{2}}+\sqrt{\left(\sqrt{2}-2\right)^2}\)
b)\(\dfrac{1}{5}\sqrt{50}-2\sqrt{96}-\dfrac{\sqrt{30}}{\sqrt{15}}+12\sqrt{\dfrac{1}{6}}\)
c)\(\left(\dfrac{5-\sqrt{5}}{\sqrt{5}}-2\right)\left(\dfrac{4}{1+\sqrt{5}}+4\right)\)
\(\left(5\right)\sqrt{x+3-4\sqrt{x-1}}\sqrt{x+8+6\sqrt{x-1}}=5\)
\(\left(6\right)2x^2+3x+\sqrt{2x^2+3x+9}=33\)
\(\left(7\right)\sqrt{3x^2+6x+12}+\sqrt{5x^4-10x^2+30}=8\)
\(\left(8\right)x+y+z+8=2\sqrt{x-1}+4\sqrt{y-2}+6\sqrt{z-3}\)
rút gọn
\(C=\left(\sqrt{11+2\sqrt{30}}-\sqrt{8-4\sqrt{3}}\right)\left(\sqrt{5}+\sqrt{2}\right)\)
4.
\(A=\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}\right)-\left(\dfrac{1}{x+\sqrt{x}}\right).\left(\dfrac{1}{\sqrt{x}-1}-\dfrac{2}{x-1}\right)\)
a. Rút gọn A.
b. Tính x khi \(A=\dfrac{1}{2}\)
5. CMR
\(\left(\dfrac{\sqrt{30}}{\sqrt{3}}-\dfrac{\sqrt{20}}{\sqrt{2}}-\dfrac{6}{\sqrt{6}}\right).\sqrt{4+\sqrt{15}}=2\)
nhanh lên nha
\(\frac{\left(5+\sqrt{24}\right)\cdot\left(49-20\sqrt{6}\right)\cdot\sqrt{5-2\sqrt{6}}}{9\sqrt{30}-11\sqrt{2}}\)
Tính ghi rõ cách giải
27 tháng 7 2021 lúc 16:36
Bài 2: a) sqrt{left(3-2sqrt{2}right)^2}+sqrt{left(3+2sqrt{2}right)^2} b) sqrt{left(5-2sqrt{6}right)^2}-sqrt{left(5+2sqrt{6}right)^2}c) sqrt{left(sqrt{5}-sqrt{2}right)^2}+sqrt{left(sqrt{5}+sqrt{2}right)^2} d) sqrt{left(sqrt{2}+1right)^2}-sqrt{left(sqrt{2}-5right)^2}e) sqrt{left(2-sqrt{3}right)^2}+sqrt{left(1-sqrt{3}right)^2} f) sqrt{left(3+sqrt{2}right)^2}-sqrt{left(1-sqrt{2}right)^2}Hộ mk vs ạ
Đọc tiếp
Bài 2:
a) \(\sqrt{\left(3-2\sqrt{2}\right)^2}+\sqrt{\left(3+2\sqrt{2}\right)^2}\) b) \(\sqrt{\left(5-2\sqrt{6}\right)^2}-\sqrt{\left(5+2\sqrt{6}\right)^2}\)
c) \(\sqrt{\left(\sqrt{5}-\sqrt{2}\right)^2}+\sqrt{\left(\sqrt{5}+\sqrt{2}\right)^2}\) d) \(\sqrt{\left(\sqrt{2}+1\right)^2}-\sqrt{\left(\sqrt{2}-5\right)^2}\)
e) \(\sqrt{\left(2-\sqrt{3}\right)^2}+\sqrt{\left(1-\sqrt{3}\right)^2}\) f) \(\sqrt{\left(3+\sqrt{2}\right)^2}-\sqrt{\left(1-\sqrt{2}\right)^2}\)
Hộ mk vs ạ
1, tính
a,\(\left(\sqrt{\frac{2}{3}}-\sqrt{\frac{3}{2}}\right)^2\)
b, \(\left(\sqrt{6}+\sqrt{2}\right).\left(\sqrt{3}-1\right)\)
c, \(\sqrt{5}+\sqrt{11-2\sqrt{30}}\)
ai nhanh tick nhé !