Rationalize the denominator 3 over 8-√2

Answer 1

Multiply top and bottom by the conjugate of the denominator, which is 8+√2, then simplify:

3 8+√2

------- x ----------

8-√2 8+√2

Note that ( 8+√2) / ( 8+√2) is equal to one, so you haven't changed the value of the rational expression.