Question

Rút gọn

a) \(\frac{x}{y}\sqrt{\frac{y^2}{x^4}}\left(x\ne0;y>0\right)\)   b) \(3x^2\sqrt{\frac{8}{x^2}}\left(x< 0\right)\)     c) ^{\(2x^3y^3\sqrt{\frac{4}{x^8y^6}}\left(x\ne0;y< 0\right)\)}

^{d)\(\frac{\sqrt{4x^4y^6}}{\sqrt{196x^6y^6}}\left(x< 0;y\ne0\right)\)}

Answer 1

a. Ta có:\(\frac{x}{y}\sqrt{\frac{y^2}{x^4}=}\) \(\frac{x}{y}.\frac{\left|y\right|}{x^2}=\frac{x.y}{x^2y}\)\(=\frac{1}{x}\)(Vì \(x\ne0;y>0\))

Answer 2

b \(3x^2\sqrt{\frac{8}{x^2}}=3x^2\frac{2\sqrt{2}}{\left|x\right|}=\frac{6x^2\sqrt{2}}{-x}=-6x\sqrt{2}\)( Vì \(x< 0\))