Roots

if √(x)/x=√(1/3) so √(x) √(3)=x you need to know that √(n) √(n)=n so x=3

$\sqrt{\dfrac{1}{3}} = \sqrt{\dfrac{3}{9}} = \dfrac{\sqrt{3}}{3}\\ \implies x = \color{#69047E}{\boxed{3}}$ .

$\frac{\sqrt{x}}{x}=\sqrt{\frac{1}{3}}$ $\frac{\sqrt{x}\times \sqrt{x}}{x\times \sqrt{x}}=\frac{\sqrt{1}}{\sqrt{3}}$ $\frac{x}{x \sqrt{x}}=\frac{1}{\sqrt{3}}$ $\frac{1}{\sqrt{x}}=\frac{1}{\sqrt{3}}$ $\sqrt{x}=\sqrt{3}$ Squaring both sides,we get $x=\boxed{3}$

Solving left side we get 1/underrootx =1/underroot 3 so x =3 Ans

K.K.GARG,India

give the both side the power of 2 (^2) you get,, (x/(x^2)) = 1/3,, just divide x,, then 1/x = 1/3 then you get x = 3