Question

Find the length of side xx in simplest radical form with a rational denominator.

Answer 1

Answer:

$x = \frac{3}{ \sqrt{2} }$

Step-by-step explanation:

${x}^{2} + {x}^{2} = {3}^{2} \\ 2 {x}^{2} = 9 \\ {x}^{2} = \frac{9}{2} \\ x = \frac{3}{ \sqrt{2} } \\ x = 2.121$