Question

Find the length of side x in the simplest radical form with a rational denominator​

Answer 1

Explanation:

Recognize that this is a 30-60-90 triangle.

Write and solve an equation of ratios:

x 1

------ = ------- (which is the tangent of 30°)

√2 √3

Then √3*x = √2, and so:

√2

x = ----------

√3

Rationalize this as follows:

√2*√3 √6

x = ------------- = ------

3- 3