- First, collect all like terms in the radical
|

|
- Arrange all the factors with like bases together
|

|
- Determine what the index of the radical is. The index is the
small number cradled just above the "V" of the radical
sign. If no number is there, it is the square root, so the index
is 2.
|
Since no number appears just above the "V",
the index is 2.
|
- For each base, raise as many factors of it as you can to the same
power as the index. Recall that , when you raise a power to a
power you multiply the exponents, and when you multiply like bases you
add the exponents.
|

|
- All factors that have an exponent the same as the index come outside
the radical sign (but NOT with the "outer" exponent
that is the same as the index, and all other factors stay inside
the radical sign.
|

|