Chương I - Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
Rút gọn \(A=\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
\(B=\sqrt{4+\sqrt{5\sqrt{3+5\sqrt{48-10\sqrt{7}+4\sqrt{3}}}}}\)
Rút gọn biểu thức:
a) dfrac{sqrt{9-2sqrt{6}}-sqrt{6}}{sqrt{3}} b)dfrac{5+sqrt{5}}{5-sqrt{5}}+dfrac{5-sqrt{5}}{5+sqrt{5}}
c) sqrt{13+30sqrt{2+sqrt{9+4sqrt{2}}}} d) sqrt{8+2sqrt{10+2sqrt{5}}}+sqrt{8-2sqrt{10+2sqrt{5}}}
e) dfrac{2sqrt{3+sqrt{5-sqrt{13+sqrt{48}}}}}{sqrt{6}-sqrt{2}} f) sqrt{9-sqrt{5sqrt{3}+5sqrt{8+10sqrt{7-4sqrt{3}}}}}
Đọc tiếp
Rút gọn biểu thức:
a) \(\dfrac{\sqrt{9-2\sqrt{6}}-\sqrt{6}}{\sqrt{3}}\) b)\(\dfrac{5+\sqrt{5}}{5-\sqrt{5}}+\dfrac{5-\sqrt{5}}{5+\sqrt{5}}\)
c) \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\) d) \(\sqrt{8+2\sqrt{10+2\sqrt{5}}}+\sqrt{8-2\sqrt{10+2\sqrt{5}}}\)
e) \(\dfrac{2\sqrt{3+\sqrt{5-\sqrt{13+\sqrt{48}}}}}{\sqrt{6}-\sqrt{2}}\) f) \(\sqrt{9-\sqrt{5\sqrt{3}+5\sqrt{8+10\sqrt{7-4\sqrt{3}}}}}\)
Tính:
a) \(A=3\sqrt{2}\left(\sqrt{50}-2\sqrt{18}+\sqrt{98}\right)\)
b) \(B=\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
Rút gọn
a, \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
b,\(\sqrt{227-30\sqrt{2}}+\sqrt{123+22\sqrt{2}}\)
\(\sqrt{3+\sqrt{5}}+\sqrt{3-\sqrt{5}}\)
\(\sqrt{8-2\sqrt{15}}-\sqrt{23-4\sqrt{5}}\)
\(\sqrt{13+30\sqrt{2+\sqrt{9+\sqrt{4\sqrt{2}}}}}\)
\(\left(\sqrt{3}-\sqrt{2}\right)\sqrt{5+2\sqrt{6}}\)
Tính: \(\sqrt{13+30.\sqrt{2+\sqrt{9+4.\sqrt{2}}}}\)
Rút gọn
a, \(\sqrt{4+\sqrt{7+4\sqrt{3}}}\)
b, \(\sqrt{5+\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}\)
c, \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
d, \(\sqrt{x+2\sqrt{x}-1}\)+ \(\sqrt{x-2\sqrt{x-1}}\) ( x \(\ge\)0)
Tính
\(\sqrt{13+30\sqrt{2+9+4\sqrt{2}}}\)
\(C=\dfrac{\sqrt{15-10\sqrt{2}}+\sqrt{13+4\sqrt{10}}-\sqrt{11+2\sqrt{10}}}{2\sqrt{3+2\sqrt{2}}+\sqrt{9-4\sqrt{2}}+\sqrt{12+8\sqrt{2}}}\)
\(B=\dfrac{20}{3+\sqrt{5}+\sqrt{2+2\sqrt{5}}}\)