MULTIPLYING RADICAL EXPRESSIONS USING ALGEBRAIC IDENTITIES WORKSHEET

Expand and simplify :

Problem 1 :

(1 + √2)2

Solution

Problem 2 :

(2 - √3)2

Solution

Problem 3 :

(√3 + 2)2

Solution

Problem 4 :

(1 + √5)2

Solution

Problem 5 :

(√2 - √3)2

Solution

Problem 6 :

(5 - √2)2

Solution

Problem 7 :

(√2 + √7)2

Solution

Problem 8 :

(4 - √6)2

Solution

Problem 9 :

(√6 - √2)2

Solution

Problem 10 :

(√5 + 2√2)2

Solution

Problem 11 :

(√5 - 2√2)2

Solution

Problem 12 :

(6 + √8)2

Solution

Problem 13 :

(5√2 - 1)2

Solution

Problem 14 :

(3 - 2√2)2

Solution

Problem 15 :

(1 + 3√2)2

Solution

Answer Key

1)  3 + 2√2

2)  7 - 4√3

3) 7 + 4√3

4)  6 + 2√5

5) 5 - 2√6

6) 27 - 10√2

7)  9 + 2√14

8) 22 - 8√6

9) 8 - 2√12.

10) 13 + 4√10.

11) 13 - 4√10.

12)  44 + 12√8.

13)  51 - 10√2.

14)  17 - 12√2.

15) 19 + 6√2.

multiplying-radical-expressions-using-algebraic-identities-worksheet

Solution

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