[Week 4]- Multiplying and Dividing Radical Expressions

What I have learned:

- Adding and Subtracting Radical Expressions
- Simplifying with more than one set of like terms
- Multiplying and dividing radical expressions
- simplifying products of expressions with variable radicands
- Rationalizing a monomial denominator

Ex. Simplify √63+√40-√90-√28

The radicals are different, so simplify each radical.

√63+√40-√90-√28

= 3√7+2√10-3√10-2√7

= 3√7-2√7+2√10-3√10

= √7-√10

Ex. Simplify 2√x-3√y+5√x+2√y; x,y,≥0

2√x and 5√x are like terms because they are radicand x and index 2.

3√y and 2√y are like terms because they have radical y and index 2.

2√x-3√y+5√x+2√y

= 2√x+5√x-3√y+2√y

= 7√x-√y

Ex. Expand and simplify(2√3+5)(2√3-5)

Expand

(2√3+5)(2√3-5)

= (2√3)(2√3)-5*5

= 12- 25

= -13