[Week 4]- Multiplying and Dividing Radical Expressions

[Week 4]- Multiplying and Dividing Radical Expressions

What I have learned:

  1. Adding and Subtracting Radical Expressions
  2. Simplifying with more than one set of like terms
  3. Multiplying and dividing radical expressions
  4. simplifying products of expressions with variable radicands
  5. 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

 

 

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