If the ratio of area of two similar triangles is $\sqrt{3} : \sqrt{2}$ then what is the ratio of the corresponding sides of the two triangles?

$\sqrt[4]{3} : \sqrt[4]{2}$

Formula to be used

\(\frac{Area\; of\; first\; triangle}{Area\; of\; second\; triangle}\) = \( {(sides\; of\; first\; triangle\; / corresponding\; sides\; of\; second\; triangle )}^{ 2} \)

Calculations

\(\frac{√3}{√2}\) = \( {(sides\; of\; first\; triangle\; / corresponding\; sides\; of\; second\; triangle )}^{ 2} \)

⇒ Therefore, the ratio of the corresponding sides of the two triangles is $\sqrt[4]{3} : \sqrt[4]{2}$