Question

Вынести множитель из под знака корня:
$sqrt frac{72}{25}$
$sqrt frac{x^{3} }{9}$
$sqrt frac{7a}{16 b^{2} }$
$sqrt frac{3m^{3}n^{2} }{4a^{2}b }$

Answer 1

1)$sqrt{ frac{3*3*2*2*2}{5*5} }$=$frac{2}{5}$*$sqrt{2}$
2) =$sqrt{ frac{x*x*x}{3*3}}$=$frac{x}{3} sqrt{x}$
3) =$frac{sqrt{7a} }{4b}$
4) =$frac{mn}{2a} sqrt{ frac{3m}{b} }$

Answer 2

$sqrt{72/25}= sqrt{2^2*3^2*2/5^2}=6/5* sqrt{2}$
$sqrt{x^3/9}= sqrt{x^2*x/3^2}= x/3*sqrt{x}$
$sqrt{7a/16b^2}= sqrt{7a/4^2b^2}= sqrt{7a}/4*!b!$
$sqrt{3m^3n^2/4a^2b}= sqrt{3m^2mn^2/2^2a^2b}=m!n!/2!a!* sqrt{3m/b}$