Question

извлеките корень .......​

Answer 1

$1)\ \ \sqrt{\dfrac{x^8}{9y^4}}=\dfrac{|x^4|}{3\, |y^2|}=\dfrac{x^4}{3\, y^2}$

$2)\ \ a<0\ ,\ \ \ \sqrt{(6a)^2}=|\underbrace {6a}_{<0}|=-6a$

$3)\ \ b>0\ \ ,\ \ \ \sqrt{(4b)^6} =|\underbrace {(4b)^3}_{>0}|=64\, b^3$

$4)\ \ b<0\ ,\ \ \sqrt{2,56\, b^{10}}=1,6|\underbrace {b^5}_{<0}|=-1,6\, b^5\\\\\\5)\ \ xy>0\ \ \Rightarrow \ \ \ \left \{ {{x>0} \atop {y>0}} \right. \ \ ili\ \ \ \left \{ {{x<0} \atop {y<0}} \right. \\\\\\\sqrt{\dfrac{441\, x^2}{y^6}}=\dfrac{21\, |\, x\, |}{|\, y^3\, |}=\dfrac{21\, x}{y^3}$