1. simplify 2/radical 5 2. simplify -11 radical 112 3. simplify 17 radical 17 -9 radical 17 4. simplify 6/ radical 3+2

1.  (2√5)/5
2.  -44√7
3.  8√17
4.  -6√3+12

For 1:  Multiply the numerator and denominator by √5:


For 2:  Simplify √112:
√112 = √(2*56) = √(2*2*28) = √(4*4*7) = 2*2√7 = 4√7
Now multiply by the -11 coefficient:
-11(4√7) = -44√7

For 3:  Add the radicals as you would variables that are like terms.

For 4:  Multiply by the conjugate.  The conjugate of the denominator has the same values with the sign of the radical changed: