Question

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

Answer 1

sq root of 6 divided by 2

Explanation:

use pythagorean theorem: square of each leg equals the square of the hypotenuse

x squared plus x squared = radical three squared

2x² = 3

x² =
`(3)/(2)`

x = square root of 3/2

rationalize the denominator to get sq root of 6 divided by 2