Question

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

Answer 1

x = 2
`√(6)`

Explanation:

Using Pythagoras' identity in the right triangle

x² = (
`√(12)` )² + (
`√(12)` )² [ the 2 legs are congruent ]

x² = 12 + 12 = 24 ( take square root of both sides )

x =
`√(24)` =
`√(4(6))` =
`√(4)` ×
`√(6)` = 2
`√(6)`