3.01 Complex Numbers

Practice - Adding and Subtracting

Practice Problem #1

Complete each problem below.

sqrt(45) = sqrt(__ x 5) = (___) sqrt(___)

Answer:

sqrt(45) = sqrt(9 x 5) = 3 sqrt(5)

Answer: sqrt(72x^[2]y) = sqrt(36 x 2 x X^[2] x Y)

Answer:

Practice Problem #2

Complete each problem below.

Answer:

Answer: = y^2 sqrt 3xy

Answer:

Practice Problem #3

Complete each problem below.

sqrt 121a^6bc^2 = sqrt ___ x 11a^6 x ___ xc^2
= ___a^___ ___ sqrt ___

Answer: sqrt 121a^6bc^2 = sqrt 11 x 11a^6 x b xc^2
= 11a^3 c sqrt b

Answer: sqrt 27x^8y^9 = sqrt 9 x 3 x x^8 x y^8 x y

Answer:

Practice Problem #4

Complete each problem below.

= ___ sqrt ___ x 2 x x x y^___ x y
= 6 x ___y^___ sqrt ___
= ___y^___ sqrt ___

Answer: = 6 sqrt 16 x 2 x x x y^14 x y
= 6 x 4y^7 sqrt 2xy
= 24y^7 sqrt 2xy

Practice Problem #5

Complete each problem below.

3 sqrt 30a^16b^3

= 3 sqrt 2 x ___ x 5 x a^___ x b^___ x ___
= ___a^___ ___ sqrt30b

Answer: = 3 sqrt 2 x 3 x 5 x a^16 x b^2 x b
= 3a^8 b sqrt30b

Practice Problem #6

Complete each problem below.

sqrt 25a^6b^10

= sqrt ___ x a^6 x b^___
= ___a^___b^___

Answer: = sqrt 25 x a^6 x b^10
= 5a^3b^5

Practice Problem #7

Complete each problem below.

sqrt 12a^7b^8c^9

= sqrt ___ x 3 x a^___ x a x b^___ x c^___ x c
= ___a^___b^___c^___ sqrt___

Answer: = sqrt 4 x 3 x a^6 x a x b^8 x c^8 x c
= 2a^3b^3c^3 sqrt3ac