\(\dfrac{\sqrt{8}+3}{\sqrt{17-3\sqrt{32}}}-\dfrac{3-2\sqrt{5}}{\sqrt{29-12\sqrt{5}}}-\dfrac{1}{\sqrt{12+2\sqrt{35}}}\)

\(\left(\dfrac{\sqrt{14}-\sqrt{7}}{1-\sqrt{2}}+\dfrac{\sqrt{15}-\sqrt{5}}{1-\sqrt{3}}\right)\):\(\dfrac{1}{\sqrt{7}-\sqrt{5}}\)

\(1+\dfrac{\sqrt{\left(x-1\right)}}{x-1}\)

rút gọn hoạc tính giá trị các biểu thức sau 

1)1+\(\sqrt{\dfrac{\left(x-1\right)^2}{x-1}}\)

2)\(\sqrt{\left(x-2\right)^2}+\dfrac{x-2}{\sqrt{\left(x-2\right)^2}}\)

3)\(\sqrt{m}-\sqrt{m-2\sqrt{m}+1}\)

tìm x để căn thức sau được xác định

1)\(\sqrt{\dfrac{-2}{2x-2}}\)

2)\(\sqrt{\dfrac{2}{3x-1}}\)

3)\(\sqrt{\dfrac{2x-2}{-2}}\)

4)\(\sqrt{\dfrac{3x-2}{5}}\)

5)\(\sqrt{\dfrac{x-2}{x+3}}\)

\(\sqrt{13-\sqrt{160}}-\sqrt{53+4\sqrt{90}}\)

√49-5√96 +√49+√96

√17-3√32 -√17+3√32

√(12+2√6+2√2+2√3)

√(10-2√6-2√10+2√15)