Algebra: Chapter 11, Lesson 4, page 495.
Multiplying Radical Expressions
Remember that the `sqrt(ab) = sqrt(a)⋅sqrt(b)` and you can’t go wrong. Make sure that you simplify and identify perfect squares. Practice makes perfect. The steps can be stated as:
- Multiplying
- Factoring to find perfect square factors
- Identifying perfect squares
- Simplify
For example:
`sqrt(3x^2)⋅sqrt(9x^3)`
This becomes `sqrt(3⋅9⋅x^5) = sqrt(3⋅9⋅x^4⋅x)`
re-arraigning terms it looks like =`sqrt(9)⋅sqrt(x^4)⋅sqrt(3)⋅sqrt(x)`
and that finally simplifies to = `3x^2⋅sqrt(3x)`.
Click this purplemath.com link for some more explanation and practice!