1001 Algebra Problems.PDF

• RADICAL EXPRESSIONS AND QUADRATIC EQUATIONS–

Set 38 (Answers begin on page 218)

This problem set focuses on the arithmetic of radical
expressions, including those involving complex numbers.

593.Simplify:–25
a. 5
b. 5 i
c.–5
d.–5i

594.Simplify:–32

a. 4 i 2 

b.–4i 2 

c.–3i 2 

d. 3 i 2 

595.Simplify: – 48 + 2 27 –  75 

a.–3 3 

b.–3 5 

c. 5  3 

d.–5 5 

596.Simplify: 3 3 + 4 5 – 8 3 

a.– 8 

b.–4 3 + 4 5 

c. 4  3 – 3 5 

d.–5 3 + 4 5 

597.Simplify:xy 8 xy^2 + 3y^2  18 x^3

a. 11 y 2 x

b. 11 xy 2 xy

c. 11 x^2 y^2  2 

d. 11 xy^2  2 x

598.Simplify:  215 ^8 + ^392 

a.

b.

c.

d.

599.Simplify: (5 –  3 )(7 +  3 )

a.32 – 2 3 

b.32 + 2 3 

c.16 – 4 3 

d.16 + 4 3 

600.Simplify: (4 +  6 )(6 –  15 )

a.24 + 4 15 + 6 6 – 3 10 

b.24 – 4 15 + 6 6 –3 10 

c.24 + 4 15 – 6 6 –3 10 

d.24 + 4 15 – 6 6 + 3 10 

601.Simplify:

a.–2 + i

b.2 + i

c.2 – i

d.–2 – i

602.Simplify: (4 + 2i)(4 – 2i)

a. 12

b. 16

c. 20

d. 20 i

603.Simplify: (4 + 2i)^2

a.12 – 16i

b.16 + 16i

c.16 – 16i

d.12 + 16i

604.Simplify: 21  + 

a. 10  3 

b. 10

c. 10  7 

d. 10  21 

605.Simplify: (2 +  3 x)^2

a. 4  3 x+ 7x

b. 4  3 x+ 7 + x

c.4 + 4 3 x+ x 3 

d.4 + 4 3 x+ 3x

^7 

 3 

^3 

 7 

–10 + –25

5

^32 ^2 

15

^29 ^2 

15

^23 ^2 

15

^29 ^2 

5