`sqrt (15 - 6 sqrt 6) + sqrt(35 - 12 sqrt 6)`
`= sqrt(9 - 2 . sqrt 9 .sqrt 6 + 6) + sqrt(27 - 12 . sqrt 6 + 8)`
`= 3 - sqrt 6 + 3 sqrt 3 - 2 sqrt 2`
`b, sqrt(17 - 3 sqrt 32) + sqrt(17 + 3 sqt 32)`
`= sqrt(9-3 sqrt 32 - 8) + sqrt(9 + 3 sqrt 32 + 8)`
`= 3 - 2 sqrt 2 + 3 + 2 sqrt 2`
`= 6`
Tính
a,\(\sqrt{15-6\sqrt{6}}+\sqrt{35-12\sqrt{6}}\)
b,\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
c,\(\sqrt{49-5\sqrt{96}}+\sqrt{49+5\sqrt{96}}\)
d,\(\sqrt{13-\sqrt{160}}+\sqrt{53+4\sqrt{90}}\)
\(\sqrt{17-12\sqrt{2}}-\sqrt{24-8\sqrt{8}}\)
\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
cần gấp
Tính:
1) \(\sqrt{14-2\sqrt{33}}\)
2) \(\sqrt{12-2\sqrt{35}}\)
3) \(\sqrt{16-2\sqrt{55}}\)
4) \(\sqrt{14-6\sqrt{5}}\)
5) \(\sqrt{17-12\sqrt{2}}\)
6) \(\sqrt{27-12\sqrt{5}}\)
7) \(\sqrt{4+\sqrt{15}}\)
LÀM CHI TIẾT GIÚP MK NHÉ!
a) \(\sqrt{8+2\sqrt{15}}-\sqrt{6+2\sqrt{5}}\)
b) \(\sqrt{17-2\sqrt{72}}+\sqrt{19+2\sqrt{18}}\)
c) \(\sqrt{12-2\sqrt{32}}+\sqrt{9+4\sqrt{2}}\)
đề bài là rút gọn biểu thức
giải chi tiết hộ mình ạ !!!
\(\sqrt{17-3\sqrt{32}-\sqrt{17+3\sqrt{32}}}\)
\(\sqrt{36-12\sqrt{5}-\sqrt{36+12\sqrt{5}}}\)
\(\sqrt{36-12\sqrt{5}-\sqrt{36+12\sqrt{5}}}\)
tính : \(a,\sqrt{3-4\sqrt{\text{5}}}-\sqrt{9+\sqrt{30}}\) l,\(\sqrt{31-8\sqrt{1\text{5}}}+\sqrt{24-6\sqrt{1\text{5}}}\)
b,\(\sqrt{17-12\sqrt{2}}-\sqrt{24-8\sqrt{8}}\) m,\(\sqrt{49-\text{5}\sqrt{96}}-\sqrt{49+\text{5}\sqrt{96}}\)
\(c,\sqrt{3+2\sqrt{2}}-\sqrt{6-4\sqrt{2}}\) n, \(\sqrt{3+2\sqrt{2}}+\sqrt{\text{5}-2\sqrt{4}}\)
d,\(\sqrt{8+2\sqrt{1\text{5}}}-\sqrt{8-2\sqrt{1\text{5}}}\)
f,\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
g,\(\sqrt{6+2\sqrt{\text{5}}}+\sqrt{6-2\sqrt{\text{5}}}\)
h,\(\sqrt{11+6\sqrt{2}}-\sqrt{11-6\sqrt{2}}\)
k,\(\sqrt{1\text{5}-6\sqrt{6}}+\sqrt{33-12\sqrt{6}}\)
rút gọn
\(E=\frac{\sqrt{8}+3}{\sqrt{17-3\sqrt{32}}}+\frac{3+2\sqrt{5}}{\sqrt{29-12\sqrt{5}}}-\frac{1}{\sqrt{12+2\sqrt{35}}}\)
\(\sqrt{17-3\sqrt{32}}+\sqrt{17-3\sqrt{32}}\)
Tính
\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{32}}\)
Tính:
a) \(\sqrt{27-12\sqrt{5}}\) e)\(\left(3-\sqrt{2}\right)\sqrt{11+6\sqrt{2}}\)
b)\(\sqrt{28-12\sqrt{5}}\) f) \(\left(\sqrt{5}+\sqrt{7}\right)\sqrt{12-2\sqrt{35}}\)
c) \(\sqrt{7-3\sqrt{5}}\) g)\(\sqrt{46-6\sqrt{5}}+\sqrt{46+6\sqrt{5}}\)
d)\(\sqrt{4+\sqrt{15}}\) h)\(\sqrt{7-2\sqrt{10}}+\sqrt{7+2\sqrt{10}}\)
i) (\(\sqrt{17-3\sqrt{32}}+\sqrt{17+3\sqrt{2}}\)
