Question

How do you rationalize and simplify `5 / ( sqrt 14 - 2 )`?

Answer 1

You have to multiply numerator and denominator by: `sqrt14+2`, so:

`5/(sqrt14-2)*(sqrt14+2)/(sqrt14+2)=(5(sqrt14+2))/(14-4)=`

`=(5(sqrt14+2))/10=(sqrt14+2)/2`.