a : \(\dfrac{\sqrt{x}}{\sqrt{x}+3}+\dfrac{2\sqrt{x}}{\sqrt{x}-3}-\dfrac{3x+9}{x-9}\)với x ≥ 0 x ≠ 9

b : \(\dfrac{3}{\sqrt{x}-1}-\dfrac{\sqrt{x}+5}{x-1}\)với x ≥ 0 x ≠ 1

c : \(\left(\dfrac{15-\sqrt{x}}{x-25}+\dfrac{2}{\sqrt{x}+5}\right):\dfrac{\sqrt{x}+1}{\sqrt{x}-5}\)với x ≥ 0 x ≠ 0

d : \(\dfrac{3\sqrt{x}+1}{x+2\sqrt{x}-3}-\dfrac{2}{\sqrt{x}+3}\)với x ≥ 0 x ≠ 1

a : \(\dfrac{y}{x}.\sqrt{\dfrac{x^2}{y^4}}\) với y ≥ 0 , y ≠ 0

b : \(\dfrac{5}{2}x^3y^3.\sqrt{\dfrac{16}{x^4y^8}}\)với x,y ≠ 0

c : \(ab^2\sqrt{\dfrac{3}{a^2b^4}}\)với a ≥ 0 , b ≠ 0

a : \(\sqrt{\dfrac{2a}{3}}.\sqrt{\dfrac{3a}{8}}\) với a ≥ 0

b : \(\sqrt{3a}.\sqrt{\dfrac{52}{a}}\)với a ≥ 0

c : \(2y^2.\sqrt{\dfrac{x^4}{4y^2}}\)với y ≤ 0

a : \(\sqrt{2-\sqrt{3}}+\sqrt{2+\sqrt{3}}\)

b : \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}\)

c : \(\sqrt{\left(2\sqrt{5}+1\right)^2}-\sqrt{\left(\sqrt{5}-2\right)^2}\)

d : \(\sqrt{52-16\sqrt{3}}+\sqrt{\left(4\sqrt{3}-7\right)^2}\)

a : \(\sqrt{3-2\sqrt{2}}+\sqrt{\left(2-\sqrt{2}\right)^2}\)

b : \(\sqrt{33-12\sqrt{6}}-\sqrt{\left(5-2\sqrt{6}\right)^2}\)

c : \(\sqrt{7-2\sqrt{6}}+\sqrt{15-6\sqrt{6}}\)

a : \(\sqrt{\left(2\sqrt{2}-1\right)^2}-\sqrt{17+12\sqrt{2}}\)

b : \(\sqrt{\left(2-\sqrt{5}\right)^2}+\sqrt{14-6\sqrt{5}}\)

c : \(\sqrt{\left(4-3\sqrt{2}\right)^2}-\sqrt{19+6\sqrt{2}}\)

\(a:\sqrt{\left(\sqrt{3}-2\right)^2}+\sqrt{5+2\sqrt{6}}\)

b : \(\dfrac{\sqrt{6}-\sqrt{2}}{\sqrt{3}-1}-\sqrt{2}\)

c : \(\left(2+\dfrac{5-2\sqrt{5}}{2-\sqrt{5}}\right).\left(2+\dfrac{5-3\sqrt{5}}{3-\sqrt{5}}\right)\)

d : \(\left(\dfrac{15}{\sqrt{6}+1}+\dfrac{4}{\sqrt{6}-2}-\dfrac{12}{3-\sqrt{6}}\right).\left(\sqrt{6}+11\right)\)

M = \(\left(\dfrac{\sqrt{x}}{\sqrt{x}-1}+\dfrac{\sqrt{x}}{x-1}\right):\left(\dfrac{2}{x}-\dfrac{2-x}{x\sqrt{x}+x}\right)\)

rút gọn M

tìm X để M = \(\dfrac{-1}{2}\)

M = \(\dfrac{\sqrt{x}}{\sqrt{x}-1}+\dfrac{\sqrt{x}}{x-1}\)

rút gọn M

tìm x để M = \(\dfrac{-1}{2}\)