Question

[minh ngọc]

a)x √x

b)y √x/y

c)x/y √y/x

d)-0.06 √250
đưa thừa số vào trong dấu căn

Answer 1

[Nguyễn Lê Phước Thịnh]

a: \(x\sqrt{x}=\sqrt{x^2\cdot x}=\sqrt{x^3}\)

b: \(y\sqrt{\dfrac{x}{y}}=\sqrt{y^2\cdot\dfrac{x}{y}}=\sqrt{xy}\)

c: \(\dfrac{x}{y}\cdot\sqrt{\dfrac{y}{x}}=\sqrt{\dfrac{x^2}{y^2}\cdot\dfrac{y}{x}}=\sqrt{\dfrac{x}{y}}\)

d: \(-0.06\cdot\sqrt{250}=-\sqrt{\dfrac{9}{2500}\cdot250}=-\sqrt{\dfrac{9}{10}}\)

Answer 2

[HT.Phong (9A5)]

a) \(x\sqrt{x}=\sqrt{x^2\cdot x}=\sqrt{x^3}\)

b) \(y\sqrt{\dfrac{x}{y}}=\sqrt{y^2\cdot\dfrac{x}{y}}=\sqrt{xy}\)

c) \(\dfrac{x}{y}\sqrt{\dfrac{y}{x}}=\sqrt{\left(\dfrac{x}{y}\right)^2\cdot\dfrac{y}{x}}=\sqrt{\dfrac{x^2}{y^2}\cdot\dfrac{y}{x}}=\sqrt{\dfrac{x}{y}}\)

d) \(-0,06\sqrt{250}=-\sqrt{\left(0,06\right)^2\cdot250}=-\sqrt{0,9}\)