\(=\sqrt{5+2\sqrt{3}.\sqrt{5}+3}\\ =\sqrt{\left(\sqrt{3}+\sqrt{5}\right)^2}=\left|\sqrt{3}+\sqrt{5}\right|=\sqrt{3}+\sqrt{5}\)
Đúng 2
Bình luận (0)
Các câu hỏi tương tự
Rút gọn
\(\frac{\sqrt{160}-\sqrt{80}}{\sqrt{8}-\sqrt{2}}-\frac{\sqrt{40}-\sqrt{15}}{2\sqrt{2}-\sqrt{3}}\)
A= \(\sqrt{6+\sqrt{24}+\sqrt{8}+\sqrt{12}}-\sqrt{5+2\sqrt{6}}\)
B= \(\sqrt{12+\sqrt{60}+\sqrt{48}+\sqrt{80}}-\sqrt{8+2\sqrt{15}}\)
C= \(\sqrt{39+12\sqrt{10}+6\sqrt{2}+4\sqrt{5}}-\sqrt{38+12\sqrt{10}}\)
Tính P = \(\frac{4+\sqrt{3}}{\sqrt{1}+\sqrt{3}}+\frac{8+\sqrt{15}}{\sqrt{3}+\sqrt{5}}+...+\frac{2n+\sqrt{n^2-1}}{\sqrt{n-1}+\sqrt{n+1}}+...+\frac{240+\sqrt{14399}}{\sqrt{119}+\sqrt{121}}\)
\(A=\frac{\sqrt{3.\sqrt{18.\sqrt[6]{8.\sqrt{x.64^{2\sqrt{7}}}}}}}{\sqrt{y}.6.z^{7\sqrt{2}}.10+\sqrt[15]{78}}=\frac{95}{78}\)
Tìm x,y,z và x+y+z
Biết M=\(\sqrt{15-2\sqrt{15-2\sqrt{15-2\sqrt{15...}}}}\), tính M
Giải phương trình vô tỉ :
a) \(\left(\sqrt{x+3}-\sqrt{x-1}\right)\left(x^2+\sqrt{x^2+4x+3}\right)=2x\)
b) \(\sqrt{2x+4}-2\sqrt{2-x}=\frac{6x-4}{\sqrt{x^2+4}}\)
c) \(\sqrt{3x^2-4x+2}+\sqrt{3x+1}+\sqrt{2x-1}+6x^3-7x^2-3=0\)
d) \(\sqrt{x^2+15}=3x-2+\sqrt{x^2+8}\)
Giải phương trình:
a) \(\sqrt{1-x^2}=\left(\frac{2}{3}-\sqrt{x}\right)^2\)
b) \(\sqrt{x^2+15}=3\sqrt[3]{x}+\sqrt{x^2+8}-2\)
c) \(x+\frac{3x}{\sqrt{1+x^2}}=1\)
d) \(3x+\sqrt{x^2+5}-\sqrt{x^2+12}-5=0\)
cho \(\sqrt{25-x^2}-\sqrt{15-x^2}=2\)tjnh \(\sqrt{25-x^2}+\sqrt{15-x^2}=?\)
Rút gọn A= \(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)
B=\(\sqrt{8+2\sqrt{10+2\sqrt{5}}}+\sqrt{8-2\sqrt{10+2\sqrt{5}}}\)
P=\(\frac{1}{\sqrt{8}+\sqrt{7}}+\sqrt{175}-2\sqrt{2}\)
1,826-y/\(1,826-\frac{y^2}{\sqrt{12,04}}:\sqrt{18}\cdot\left(\sqrt{15}-\frac{2,3+\frac{5}{3\sqrt{5}}\cdot7}{0,0598\sqrt{15}+\sqrt[3]{6}}\right)=\frac{7}{4}\)