\(\left(\sqrt{6}-\sqrt{5}\right)^2-\sqrt{11+2\sqrt{30}}\)
\(\sqrt{8+2\sqrt{15}}-\sqrt{8-2\sqrt{15}}\)
\(\sqrt{11+4\sqrt{7}}-\sqrt{14-6\sqrt{5}}\)
\(\sqrt{22-12\sqrt{2}}-\sqrt{19+6\sqrt{2}}\)
\(\sqrt{-6\sqrt{3}+12}+\sqrt{-12\sqrt{3}+21}\)
Bài 1: Viết các biểu thức sau dưới dạng bình phương 1 tổng, 1 hiệu
a) 156 + 42√3
b) 30 +10√5
c)123 + 70√2
d)5 + 2√6
e)276 - 64√5
f)29 - 12√5
Tính:
a)\(\dfrac{-3}{5}\) . \(\sqrt{\left(-0,5\right)^{ }2}\)
b)4.\(\sqrt{\left(-3\right)^6}\) + 5\(\sqrt{\left(-2\right)^4}\)
c)\(\sqrt{\left(1-\sqrt{7}\right)^2}\) +\(\sqrt{7}\)
d)\(\sqrt{11+6\sqrt{2}}\) - \(\sqrt{11-6\sqrt{2}}\)
-GIÚP MÌNH VỚI Ạ-
\(\sqrt{7-\sqrt{24}}-\dfrac{\sqrt{50}-5}{\sqrt{10}-\sqrt{5}}+\sqrt{\left(11-\sqrt{120}\right)\left(11+2\sqrt{30}\right)^2}\)
Rút gọn giùm mình với ạ
Tính:
a) \(\dfrac{6}{\sqrt{2}-\sqrt{3}+3}\)
b) \(\dfrac{1}{\sqrt{10}+\sqrt{15}+\sqrt{14}+\sqrt{21}}\)
c)\(\dfrac{1}{2+\sqrt{5}+2\sqrt{2}+\sqrt{10}}\)
d)\(\dfrac{2\sqrt{30}}{\sqrt{5}+\sqrt{6}+\sqrt{7}}\)
a)\(\frac{1}{\sqrt{8}+\sqrt{7}}+\sqrt{175}-\frac{6\sqrt{2}-4}{3-\sqrt{2}}\)
b)\(\sqrt{2-\sqrt{3}}-\sqrt{\frac{3}{2}}\)
c)\(\frac{\sqrt{30}-\sqrt{2}}{\sqrt{8-\sqrt{15}}}-\sqrt{8-\sqrt{49+8\sqrt{3}}}\)
d) \(\frac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2+\sqrt{3}}}+\frac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2-\sqrt{3}}}\)
e)\(\frac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+4}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
f)\(\frac{\left(5+2\sqrt{6}\right)\left(49-20\sqrt{6}\right)\sqrt{5-2\sqrt{6}}}{9\sqrt{3}-11\sqrt{2}}\)
g)\(\frac{\frac{\sqrt{2+\sqrt{3}}}{2}}{\frac{\sqrt{2+\sqrt{3}}}{2}-\frac{2}{\sqrt{6}}+\frac{\sqrt{2+\sqrt{3}}}{2\sqrt{3}}}\)
\(\sqrt{5}+\sqrt{11-2\sqrt{30}}\)
Tính \(C=\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
Tính\(D=\sqrt{6+2\sqrt{5-\sqrt{29-12\sqrt{5}}}}\)
1. Tìm x để biểu thức sau có nghĩa:
a) A= \(\dfrac{x}{x-2}+\sqrt{x-2}\) .
b) B= \(\sqrt{-x^2+2x-1}.\)
2. Giải pt:
a) \(\sqrt{9x^2+6x+1}=\sqrt{11-6\sqrt{2}}.\)
3. Thực hiện phép tính:
a) \(\sqrt{\sqrt{5}-\sqrt{3-\sqrt{29-12\sqrt{5}}}}.\)
b) \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}.\)