MULTIPLYING BINOMIAL RADICAL EXPRESSIONS WORKSHEET

Expand and simplify :

Problem 1 :

(1 + √2) (2 + √2)

Solution

Problem 2 :

(2 + √3) (3 + √3)

Solution

Problem 3 :

(√3 + 2) (√3 – 1)

Solution

Problem 4 :

(4 - √2) (3 + √2)

Solution

Problem 5 :

(1 + √3) (1 - √3)

Solution

Problem 6 :

(5 + √7) (2 - √7)

Solution

Problem 7 :

(√5 + 2) (√5 – 3)

Solution

Problem 8 :

(6 - √3) (2 + √3)

Solution

Problem 9 :

(4 - √2) (3 - √2)

Solution

Problem 9 :

(4 - √2) (3 - √2)

Solution

Problem 11 :

(-1 + 2√2) (2 - √2)

Solution

Problem 12 :

(2√2 + 3) (2√2 + 5)

Solution

Answer Key

1) 4 + 3√2

2) 9 + 5√3

3) 1 + √3

4) 10 + √2

5)   -2

6)  3 - 3√7

7)  -1 - √5  

8) 9 + 4√3

9)  14 - 7√2

10)  17 - 10√3

11)   -6 + 5√2

12) 23 + 16√2

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