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

x = √2

Step-by-step explanation:

Here, we want to get the value of x

As we can see, what we have is a right triangle

x faces the angle 30 which makes it the opposite to that angle

the root of 6 is the adjacent to the angle 30

Mathematically, the ratio of the opposite to the adjacent is the tan

Thus;

Tan 30 = x/√6

Tan 30 = 1/√6

1/√3 = x/√6

x = √6/√3

x = √(6/3)

x = √2

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