Chương I - Căn bậc hai. Căn bậc ba
Các câu hỏi tương tự
Tính (Rút gọn):
a) \(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
b)\(\sqrt{10+2\sqrt{6}+2\sqrt{10}+2\sqrt{15}}\)
c)\(\left(\sqrt{5+2\sqrt{9\sqrt{5}-19}}-\sqrt{7-\sqrt{5}}\right):2\sqrt{\sqrt{5}-2}\)
d)\(\frac{\sqrt{9+\sqrt{5}}+\sqrt{9-\sqrt{5}}}{\sqrt{9+2\sqrt{19}}}-\sqrt{3-2\sqrt{2}}\)
a) \(\dfrac{\sqrt{2}+\sqrt{3}+\sqrt{6}+\sqrt{8}+\sqrt{16}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)
b) \(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)
Tính giá trị các biểu thức:
a.\(\left(7\sqrt{48}+3\sqrt{27}-2\sqrt{12}\right)\sqrt{3}\)
b.\(\left(12\sqrt{50}-8\sqrt{200}+7\sqrt{450}\right):\sqrt{10}\)
c.\(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\dfrac{1}{4}\sqrt{8}\right)3\sqrt{6}\)
d.\(3\sqrt{15\sqrt{50}}+5\sqrt{24\sqrt{8}}-4\sqrt{12\sqrt{32}}\)
rút gọn A= \(\frac{\sqrt{10}+2\sqrt{6}+\sqrt{10}\cdot\sqrt{4-\sqrt{15}}}{\sqrt{2}-\sqrt{3}+\sqrt{5}}\)
Rút gọn \(A=\left(\sqrt{6+\sqrt{20}}-2\sqrt{3-\sqrt{5}}+\sqrt{15-10\sqrt{2}}\right):\left(2+\sqrt{8}\right)\)
rút gọn
\(\dfrac{2\sqrt{15}-2\sqrt{10}+\sqrt{6}-3}{2\sqrt{15}-2\sqrt{10}-\sqrt{3}+\sqrt{6}}\)
Tính (rút gọn)
a) left(sqrt{3+sqrt{5}}right)left(sqrt{10}+sqrt{2}right)left(3-sqrt{5}right)
b) left(4+sqrt{15}right)left(sqrt{10-sqrt{6}}right)sqrt{4-}sqrt{15}
c) left(sqrt{6}+sqrt{2}right)left(sqrt{3}-2right)sqrt{sqrt{3+2}}
d) left(2sqrt{4+sqrt{6-2sqrt{5}}}right)left(sqrt{10}-sqrt{2}right)
f)sqrt{dfrac{3-sqrt{5}}{2-sqrt{3}}}
g)dfrac{sqrt{2+sqrt{3}}}{3+sqrt{3}}
h)sqrt{4-sqrt{15}}+sqrt{4+sqrt{15}}-2sqrt{3-sqrt{5}}
Đọc tiếp
Tính (rút gọn)
a) \(\left(\sqrt{3+\sqrt{5}}\right)\left(\sqrt{10}+\sqrt{2}\right)\left(3-\sqrt{5}\right)\)
b) \(\left(4+\sqrt{15}\right)\left(\sqrt{10-\sqrt{6}}\right)\sqrt{4-}\sqrt{15}\)
c) \(\left(\sqrt{6}+\sqrt{2}\right)\left(\sqrt{3}-2\right)\sqrt{\sqrt{3+2}}\)
d) \(\left(2\sqrt{4+\sqrt{6-2\sqrt{5}}}\right)\left(\sqrt{10}-\sqrt{2}\right)\)
f)\(\sqrt{\dfrac{3-\sqrt{5}}{2-\sqrt{3}}}\)
g)\(\dfrac{\sqrt{2+\sqrt{3}}}{3+\sqrt{3}}\)
h)\(\sqrt{4-\sqrt{15}}+\sqrt{4+\sqrt{15}}-2\sqrt{3-\sqrt{5}}\)
1.Tìm x
a. sqrt{x+5}1+sqrt{x}
b. sqrt{x}+sqrt{1-x}1
c. sqrt{3-x}+sqrt{x-5}10
2. Tính
Asqrt{5-2sqrt{6}}+sqrt{5+2sqrt{6}}
Bleft(4+sqrt{15}right).left(sqrt{10}-sqrt{6}right).sqrt{4-sqrt{15}}
Csqrt{7-2sqrt{10}-sqrt{7+2sqrt{10}}}
Đọc tiếp
1.Tìm x
a. \(\sqrt{x+5}=1+\sqrt{x}\)
b. \(\sqrt{x}+\sqrt{1-x}=1\)
c. \(\sqrt{3-x}+\sqrt{x-5}=10\)
2. Tính
\(A=\sqrt{5-2\sqrt{6}}+\sqrt{5+2\sqrt{6}}\)
\(B=\left(4+\sqrt{15}\right).\left(\sqrt{10}-\sqrt{6}\right).\sqrt{4-\sqrt{15}}\)
\(C=\sqrt{7-2\sqrt{10}-\sqrt{7+2\sqrt{10}}}\)
tính giá trị biểu thức
\(\left(4+\sqrt{15}\right)\left(\sqrt{10}-\sqrt{6}\right)\sqrt{4-\sqrt{15}}\)