\(\sqrt{6+2\sqrt{2}\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-8\sqrt{2}}}}}\)
\(=\sqrt{6+2\sqrt{2}\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{16-2.4\sqrt{2}+2}}}}\)
\(=\sqrt{6+2\sqrt{2}\sqrt{3-\sqrt{\sqrt{2}+2\sqrt{3}+4-\sqrt{2}}}}\)
\(=\sqrt{6+2\sqrt{2}\sqrt{3-\left(\sqrt{3}+1\right)}}=\sqrt{6+2\sqrt{2}\sqrt{2-\sqrt{3}}}\)
\(=\sqrt{6+2\sqrt{4-2\sqrt{3}}}=\sqrt{6+2\left(\sqrt{3}-1\right)}=\sqrt{4+2\sqrt{3}}=\sqrt{3}+1\)
5.Rút gọn:
B= \(\sqrt{6-2\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-8\sqrt{2}}}}\)
6.Rút gọn:
A= \(\sqrt{4+\sqrt{10+2\sqrt{5}}}+\sqrt{4-\sqrt{10+2\sqrt{5}}}\)
rút gọn
\(\dfrac{\sqrt{15}-\sqrt{6}}{\sqrt{35}-\sqrt{14}}\)
\(\dfrac{\sqrt{15}-\sqrt{5}}{\sqrt{3}-1}\)
\(\dfrac{2\sqrt{8}-\sqrt{12}}{\sqrt{18}-\sqrt{48}}\)
a) \(\sqrt{8+2\sqrt{15}}-\sqrt{6+2\sqrt{5}}\)
b) \(\sqrt{17-2\sqrt{72}}+\sqrt{19+2\sqrt{18}}\)
c) \(\sqrt{12-2\sqrt{32}}+\sqrt{9+4\sqrt{2}}\)
đề bài là rút gọn biểu thức
giải chi tiết hộ mình ạ !!!
rút gọn
\(A=\sqrt{3+2\sqrt{2}}-\sqrt{3-2\sqrt{3}}\)
\(B=\sqrt{18+8\sqrt{2}}+\sqrt{18-8\sqrt{2}}\)
\(C=\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{4+2\sqrt{3}}}}\)
rút gọn
\(\sqrt{6+2\sqrt{2}.\sqrt{3-\sqrt{\sqrt{2}+\sqrt{12}+\sqrt{18-\sqrt{128}}}}}\)
rút gọn các câu sau
a,\(2\sqrt{18}-4\sqrt{50}+3\sqrt{32}\)
b,\(\sqrt{\left(\sqrt{8}-4\right)^2}+\sqrt{8}\)
c,\(\sqrt{14-6\sqrt{5}}+\sqrt{6+2\sqrt{5}}\)
Rút gọn B=\(\frac{2\sqrt{6}+\sqrt{3}+4\sqrt{2}+3}{\sqrt{11+2\left(\sqrt{6}+\sqrt{12}+\sqrt{18}\right)}}\)
Rút gọn: \(\frac{2\sqrt{6}+\sqrt{3}+4\sqrt{2}+3}{\sqrt{11+2\left(\sqrt{6}+\sqrt{12}+\sqrt{18}\right)}}\)
Rút gọn biểu thức P=\(\frac{2\sqrt{6}+\sqrt{3}+4\sqrt{2}+3}{\sqrt{11+2\left(\sqrt{6}+\sqrt{12}+\sqrt{18}\right)}}\)
