bài 5 Tính:
a) \(\sqrt{6-2\sqrt{5}}\)
b)\(\sqrt{7-4\sqrt{3}}\)
c)\(\sqrt{3-2\sqrt{2}}\) -\(\sqrt{6-4\sqrt{2}}\)
d)\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
Thực hiện phép tính
a, \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
b, \(\sqrt{5-\sqrt{13+4\sqrt{3}}}+\sqrt{3+\sqrt{13+4\sqrt{3}}}\)
c, \(\sqrt{1+\sqrt{3+\sqrt{13+4\sqrt{3}}}}+\sqrt{1-\sqrt{3-\sqrt{13-4\sqrt{3}}}}\)
d, \(\left(\sqrt{3}-\sqrt{2}\right)\sqrt{5+2\sqrt{6}}\)
Câu1: Rút gọn
\(a,x+\sqrt{\left(x+2\right)^2}\cdot\left(x-2\right)\\ b,\sqrt{m^2-6m+9-2m}\left(x>3\right)\\ c,1+\sqrt{\frac{\left(x-1\right)^2}{x-1}}\\ d,\sqrt{x+4\sqrt{x-4}}+\sqrt{x-4\sqrt{x-4}}\)
Câu 2: So sánh
\(a,3và\sqrt{5}\\ \\ \\ b,2\sqrt{2}và3\sqrt{2}\\ \\ \\ c,-4\sqrt{5}và-6\sqrt{6}\\ \\ \\ d,2\sqrt{3}-5và\sqrt{3}-4\\ \\ \\e,A=\sqrt{2006}-\sqrt{2005}và\\ B=\sqrt{2005}-\sqrt{2004}\)
Câu 3: Rút gọn
\(a,\sqrt{16-2\sqrt{55}}\\ \\ \\ \\ \\ \\ \\ \\ \\ b,\sqrt{14-6\sqrt{5}}\\ \\ \\ \\ \\ \\ \\ \\ \\ c,\sqrt{36+12\sqrt{5}}\\ \\ \\ \\ \\ \\ \\ \\ \\ d,\sqrt{29+12\sqrt{5}}\)
Câu4: Tìm đkxđ
\(a,\sqrt{x^2-9}\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ b,\sqrt{x^2-3x+2}\)
\(c,\frac{\sqrt{x+3}}{\sqrt{5-x}}\\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ d,\sqrt{\frac{x+3}{5-x}}\)
\(a,\sqrt{3+2\sqrt{2}}-\sqrt{2}\)
\(b,\sqrt{16-6\sqrt{7}}-2\sqrt{7}\)
\(c,\sqrt{30+12\sqrt{6}}+\sqrt{30-12\sqrt{6}}\)
\(d,\sqrt{9-4\sqrt{5}}-\sqrt{5}\)
\(e,\sqrt{\left(-2\right)^6}+\sqrt{\left(-3\right)^4}\)
a,\(\sqrt{22+12\sqrt{2}}\)
b,\(\sqrt{\dfrac{5+2\sqrt{6}}{2}}\)
c,\(\sqrt{30+4\sqrt{2}\sqrt{7}}\)
d,\(\sqrt{5+2\sqrt{2-\sqrt{9-4\sqrt{2}}}}\)
e,\(\sqrt{1+2\sqrt{\sqrt{2+\sqrt{11+6\sqrt{2}}}}}\)
f,\(\sqrt{1+\dfrac{\sqrt{3}}{2}+\sqrt{1-\dfrac{\sqrt{3}}{2}}}\)
g,\(\sqrt{10-2\sqrt{21}}+\sqrt{4+2\sqrt{3}}\)
tính:
a,\(\sqrt{9-4\sqrt{5}}-\sqrt{5}\)
b,\(\sqrt{7-4\sqrt{3}}+\sqrt{4-2\sqrt{3}}\)
c,\(\dfrac{x-49}{\sqrt{x}-7}\)
d,\(\sqrt{4+2\sqrt{3}}-\sqrt{13+4\sqrt{3}}\)
e,\(2+\sqrt{17-4\sqrt{9+4\sqrt{45}}}\)
Tính :
a) \(\sqrt{3-2\sqrt{2}}+\sqrt{3+2\sqrt{2}}\)
b) \(\sqrt{9-4\sqrt{5}}+\sqrt{6+2\sqrt{5}}\)
c) \(\sqrt{9-4\sqrt{2}}-\sqrt{11+6\sqrt{2}}\)
d) \(\sqrt{12+8\sqrt{2}}+\sqrt{6-4\sqrt{2}}\)
\(a,\sqrt{10+\sqrt{9}}\)
b,\(\sqrt{21+6\sqrt{6}}\)-\(\sqrt{21-6\sqrt{6}}\)
c\(\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10-2\sqrt{5}}}\)
d,\(\sqrt{x+1+2\sqrt{x}}\)
e,\(\sqrt{2\text{x}+3+2\sqrt{x^2+3\text{x}+2}}\)
giúp mik với,cảm ơn trc ạ
Rút gọn biểu thức
a) \(\sqrt{11-2\sqrt{10}}\)
b) \(\sqrt{9-2\sqrt{14}}\)
c) \(\sqrt{4+2\sqrt{3}}+\sqrt{4-2\sqrt{3}}\)
d) \(\sqrt{9-4\sqrt{5}}-\sqrt{9+4\sqrt{5}}\)
e) \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}\)
g) \(\sqrt{3}+\sqrt{11+6\sqrt{2}}+\sqrt{5+2\sqrt{6}}\)
h) \(\sqrt{5\sqrt{3}+5\sqrt{48-10\sqrt{7+4\sqrt{3}}}}\)
k) \(\sqrt{94-42\sqrt{5}}-\sqrt{94+42\sqrt{5}}\)
i) \(\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
