\(\sqrt{13+30\sqrt{2+\sqrt{9+4\sqrt{2}}}}\)\(\sqrt{4-2\sqrt{3}}+\sqrt{4+2\sqrt{3}}\)\(\sqrt{20}-\sqrt{45}+3\sqrt{18}+\sqrt{72}\) Rút gọn biểu thức:a)\(\sqrt{4.36}+\sqrt{\frac{25}{81}\frac{16}{49}}\)

cho \(x=\frac{\sqrt[3]{5-3\sqrt{5}}+\sqrt[3]{64-12\sqrt{20}}}{\sqrt[3]{57}}.\)\(\sqrt[3]{8+3\sqrt{5}}\)

\(y=\frac{\sqrt[3]{9}-\sqrt{2}}{\sqrt[3]{3}+\sqrt[4]{2}}+\frac{2-9\sqrt[3]{9}}{\sqrt[4]{2}-\sqrt{81}}\)

Tính xy

Cho biểu thức: \(P=\left(\frac{\sqrt{x}-3}{2-\sqrt{x}}+\frac{\sqrt{x}+2}{3+\sqrt{x}}-\frac{9-x}{x+\sqrt{x}-6}\right):\left(1-\frac{3\sqrt{x}-9}{x-9}\right)\)

a)Rút gọn biểu thức

b)Tính P với \(x=\frac{\sqrt{4+2\sqrt{3}}\left(\sqrt{x}-1\right)}{\sqrt{6+2\sqrt{5}-\sqrt{5}}}\)

Rút gọn

\(\frac{\sqrt{9-4\sqrt{5}}}{2-\sqrt{5}}\)

\(\frac{\sqrt{5+2\sqrt{6}}}{\sqrt{3+\sqrt{2}}}\)

\(\frac{\sqrt{7-4\sqrt{6}}}{\sqrt{3}-\sqrt{2}}\)

\(\frac{3+\sqrt{5}}{\sqrt{2}}\)

\(\text{Rút gọn biểu thức}\)

\(P=\sqrt{x}+\frac{\sqrt[3]{2-\sqrt{3}}.\sqrt[6]{7-4\sqrt{3}}-x}{\sqrt[4]{9-4\sqrt{5}}.\sqrt{2+\sqrt{5}}+\sqrt{x}}\)

rút gọn:

a, \(\frac{\sqrt{405}+3\sqrt{27}}{3\sqrt{3}+\sqrt{45}}\)

b,\(\frac{\sqrt{2}+\sqrt{3}+\sqrt{4}-\sqrt{6}-\sqrt{9}-\sqrt{12}}{\sqrt{2}+\sqrt{3}+\sqrt{4}}\)

c, \(\frac{\sqrt{6-2\sqrt{5}}}{\sqrt{5}-1}\)

Rút gọn: A = \(\frac{a+\sqrt{2+\sqrt{5}}.\sqrt{\sqrt{9-4\sqrt{5}}}}{\sqrt[3]{2-\sqrt{5}}.\sqrt[3]{\sqrt{9-4\sqrt{5}}}-\sqrt[3]{a^2}+\sqrt[3]{a}}\)

bài 1: cho biểu thức sau:P =\(\frac{\sqrt{a}}{\sqrt{a}+3}+\frac{2\sqrt{a}}{\sqrt{a}-3}-\frac{3a+9}{a-9}\)( a>=9, a khác 9)

a, rút gọn P

b, tìm a để P = \(\frac{1}{3}\)

c, tìm max P

bài 2: rút gọn 

A=\(\sqrt{2x+\sqrt{4x-1}}+\sqrt{2x-\sqrt{4x-1}}\)

B=\(53+20\sqrt{4+\sqrt{9-4\sqrt{2}}}\)