Question

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

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Answer 1

`x = √(2)`

Explanation:

`\tan 30 \degree = (x)/( √(6) ) \\ \\ (1)/( √(3) ) = (x)/( √(6) ) \\ \\ x = ( √(6) )/( √(3) ) \\ \\ x = ( \: √(3) * √(2) )/( √(3) ) \\ \\ x = √(2)`