Question

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

Answer 1

`(√(22) )/(2)`

Explanation:

Equation for 45-45-90 triangles is s → s → s√2

We are looking for the length of one side, or the value of s.

`s√(2) =√(11)`

`s = (√(11) )/(√(2) ) \\`

Rationalize the denominator by multiplying by
`(√(2) )/(√(2) )`. This fraction is equal to 1 to it won't change your answer.

`(√(11) )/(√(2) ) * (√(2) )/(√(2) ) = (√(22) )/(2)`