\(\dfrac{2\sqrt{30}}{\sqrt{5}+\sqrt{6}+\sqrt{7}} \)
\(\sqrt{24}+6\sqrt{\dfrac{2}{3}+\dfrac{10}{\sqrt{6}-1}}\)
\(\dfrac{2\sqrt{15}+\sqrt{16}}{\sqrt{84}+\sqrt{6}}\)
\(2\sqrt{40\sqrt{2}}-2\sqrt{\sqrt{75}}-3\sqrt{5\sqrt{48}}\)
\(\dfrac{\left(2+\sqrt{3}\right)^2-1}{\left(\sqrt{3}+1\right)^2}:\dfrac{\left(3+\sqrt{5}\right)^2-4}{\left(\sqrt{5}+1\right)^2}\)
giúp em với ạ
Rút gọn các biểu thức sau:
a.\(2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
b.\(\sqrt{2+\sqrt{3}}.\sqrt{2+\sqrt{2+\sqrt{3}}.\sqrt{2+\sqrt{2+\sqrt{2+\sqrt{3}}}}}.\sqrt{2-\sqrt{2+\sqrt{2+\sqrt{3}}}}\)
c.\(\sqrt{8+\sqrt{40}+\sqrt{20}+\sqrt{8}}\)
d.\(\sqrt{10+\sqrt{24}+\sqrt{20}+\sqrt{8}}\)
d.\(\sqrt{10+\sqrt{24}-\sqrt{40}-\sqrt{60}}\)
a.\(\sqrt{19-6\sqrt{2}}\) b.\(\sqrt{11-6\sqrt{2}}\) c.\(\sqrt{9-6\sqrt{2}}\)
d.\(\sqrt{21+12\sqrt{3}}\) e.\(\sqrt{57-40\sqrt{2}}\)
Giúp mình với
II.nhân:\(\sqrt{A}\).\(\sqrt{B}\)=\(\sqrt{..............}\)(A≥0;B≥0)
a)\(\sqrt{2}\left(\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\right)\)
b)\(\sqrt{13+30\sqrt{2}+\sqrt{9+4\sqrt{2}}}\)
c)\(\sqrt{6+2\sqrt{5}-\sqrt{13+\sqrt{48}}}\)
Tính
\(a,F=\sqrt{13-\sqrt{160}}-\sqrt{53-4\sqrt{9}}\)
\(b,A=\sqrt{13-30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
\(c,D=\frac{1}{\sqrt{8}+\sqrt{7}}+\sqrt{175}-2\sqrt{2}\)
\(d,M=\sqrt{0,25\sqrt{961}+2\sqrt{10}+\sqrt{15}+\sqrt{6}}\)
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,\(\sqrt{13-\sqrt{160}}+\sqrt{53+4\sqrt{90}}\)
có ai biết giải ko giải hộ mình mấy bài này với ( giải chi tiết hộ mình nhé)
1, \(2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
2, \(\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
3, \(\sqrt{4+\sqrt{5\sqrt{3+}5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}}\)
4, \(\sqrt{30-2\sqrt{16+6\sqrt{11+4\sqrt{4-2\sqrt{3}}}}}\)
5, \(\dfrac{\left(5\sqrt{3}+\sqrt{50}\right)\left(5-\sqrt{24}\right)}{\sqrt{75}-5\sqrt{2}}\)
6, \(\sqrt{4+\sqrt{8}.\sqrt{2+\sqrt{2}}}.\sqrt{2-\sqrt{2+\sqrt{2}}}\)
7, \(\sqrt{8\sqrt{3}-2\sqrt{25\sqrt{12}+4\sqrt{192}}}\)
1,\(\sqrt{30-2\sqrt{16+6\sqrt{11+4\sqrt{4-2\sqrt{3}}}}}\)(TÍNH GIÁ TRỊ CỦA BIỂU THỨC )
2,\(\sqrt{4+\sqrt{10+2\sqrt{5}}}\)+ \(\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
3,\(2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
4,\(\sqrt{6+2\sqrt{5-\sqrt{13+\sqrt{48}}}}\)
5,\(\sqrt{13+\sqrt{30+\sqrt{2+\sqrt{9+4\sqrt{2}}}}}\)
6,\(\sqrt{4+\sqrt{8}}\).\(\sqrt{2+\sqrt{2+\sqrt{2}}}\).\(\sqrt{2-\sqrt{2+\sqrt{2}}}\)
(HỘ Mk vs!MK ĐAG CẦN GẤP!THANKS...!)
Thực hiện phép tính
a, \(\sqrt{2+\sqrt{3}}-\sqrt{2-\sqrt{3}}\)
b, \(\sqrt{21-12\sqrt{3}-\sqrt{3}}\)
c,\(\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{3}-2\right)\sqrt{\sqrt{3}+2}\)
d,\(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
Thực hiện các phép tính sau:
a, \(\left(\sqrt{6}+\sqrt{2}\right)\cdot\left(\sqrt{3}-2\right)\cdot\sqrt{\sqrt{3}+2}\)
b, \(\left(4+\sqrt{15}\right)\cdot\left(\sqrt{10}-\sqrt{6}\right)\cdot\sqrt{4-\sqrt{15}}\)
c, \(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)
d, \(\sqrt{6-2\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-\sqrt{128}}}}\)