Các câu hỏi tương tự
3 tháng 10 2021 lúc 13:53
a,\(\sqrt{8+2\sqrt{15}}\) -\(\sqrt{6+2\sqrt{15}}\)
b, \(\sqrt{17-2\sqrt{72}}-\sqrt{19+2\sqrt{18}}\)
c, \(\sqrt{8-2\sqrt{7}}+\sqrt{8+2\sqrt{7}}\)
d, \(\sqrt{12+2\sqrt{11}}-\sqrt{12-2\sqrt{11}}\)
e, \(\sqrt{10-2\sqrt{21}}-\sqrt{9-2\sqrt{14}}\)
19 tháng 7 2019 lúc 20:54
Tính
\(D=\sqrt{6+2\sqrt{8\sqrt{2}-9}}-\sqrt{7-\sqrt{2}}.\)
\(B=\sqrt{29+6\sqrt{6}}-\sqrt{32-6\sqrt{15}}\)
\(A=\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
tính ;\(\sqrt{2-\sqrt[3]{3+\sqrt[4]{4-\sqrt[5]{5+\sqrt[6]{6-\sqrt[7]{7+\sqrt[8]{8-\sqrt[9]{9}}}}}}}}\)
D=\(\sqrt{6+2\sqrt{8\sqrt{2}-9}}-\sqrt{7-\sqrt{2}}\)
a) 11+6\(\sqrt{2}\) = \(\left(3+\sqrt{2}\right)^2\)
b) 8-2\(\sqrt{7}\)=\(\left(\sqrt{7}-1\right)^2\)
c)\(\sqrt{11+6\sqrt{2}}=\sqrt{11-6\sqrt{2}}=6\)
d) \(\sqrt{8-2\sqrt{7}}-\sqrt{8+2\sqrt{7}}=-2\)
thực hiện phép tính
a)\(3\sqrt{9-\sqrt{25}+2\sqrt{49}}\)
b)\(7\sqrt[3]{27}-\sqrt[3]{64}+2\sqrt[3]{8}\)
c)\(\left(\sqrt{28}+2\sqrt{14}+3\sqrt{7}\right)\left(\sqrt{7}-7\sqrt{8}\right)\)
d)\(\frac{6\sqrt{7}+\sqrt{12}}{2}+\sqrt{7}+\sqrt{67-12\sqrt{7}}\)
rút gọn các biểu thức sau:
a \(\sqrt[3]{8\sqrt{5}-16}.\sqrt[3]{8\sqrt{5}+16}\)
b \(\sqrt[3]{7-5\sqrt{2}}-\sqrt[6]{8}\)
c \(\sqrt[3]{4}.\sqrt[3]{1-\sqrt{3}}.\sqrt[6]{4+2\sqrt{3}}\)
d \(\dfrac{2}{\sqrt[3]{3}-1}-\dfrac{4}{\sqrt[3]{9}-\sqrt[3]{3}+1}\)
a)\(\sqrt{\sqrt{5}-\sqrt{3x}}\)
b) \(\sqrt{\sqrt{6x}-4x}\)
c) \(\sqrt{\left(\sqrt{x}-7\right)\left(\sqrt{x}+7\right)}\)
d) \(\sqrt{\left(x-6\right)^6}\)
e) \(\sqrt{-12x+5}\)
f) \(2-4\sqrt{5x+8}\)
g) \(\sqrt{x^2-9}\)
Tính
\(a,F=\sqrt{13-\sqrt{160}}-\sqrt{53-4\sqrt{9}}\)
\(b,A=\sqrt{13-30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
\(c,D=\frac{1}{\sqrt{8}+\sqrt{7}}+\sqrt{175}-2\sqrt{2}\)
\(d,M=\sqrt{0,25\sqrt{961}+2\sqrt{10}+\sqrt{15}+\sqrt{6}}\)