Write the nature of roots of quadratic equation $\mathrm{𝟒}{𝒙}^{\mathrm{𝟐}}+\mathrm{𝟒}\sqrt[ ]{\mathrm{𝟑}}𝒙+\mathrm{𝟑}=\mathrm{𝟎}$.

The given quadratic equation is $4x^2+4\sqrt[ ]{3}x+3=0$. 

This equation is of the form ax² + bx + c = 0, where $a=4, b=4\sqrt[ ]{3}, c=3$. 

$D=b^2-4ac={\left(4\sqrt[ ]{3}\right)}^2-4\times 4\times 3=0$

Thus, the given quadratic equation has two equal real roots.