Radicals & Complex #s Review

Simplifying, Multiplying, Dividing Radicals

100

#1

-sqrt1260

-6sqrt35

200

#2

root3(192)

4root(3)3

300

#8

(4sqrt12)/(sqrt(3x))

(8sqrtx)/|x|

400

#3

1/2x^2y^2root(3)(48x^5y^6z^21)

x^3y^4z^7root(3)(6x^2)

500

#5

1/6x^2sqrt(2xy^3)*36sqrt(162x^5y^2)

108|x^5|y^2sqrty

Solving Equations with Radicals

100

#36. Solve for x:

root(3)(3x)=6

x=72

200

#37. Solve for x:

3sqrt(7x-2)=27

x=83/7

300

#39. solve for x:

sqrt(x^2+3)=x+1

x=1

400

#40. solve for x:

40x^2+1600=0

x=+-2isqrt10

500

#42. solve for x:

3x^2+2=-2x^2+152

x=+-sqrt30

Operations with Radicals

100

#12

2sqrt3+4sqrt3

6sqrt3

200

#13

(5sqrt6+3sqrt2)^2

168+60sqrt3

300

#14

6/(3sqrt2+8)

-(9sqrt2-24)/23

400

#11

(6-4sqrt20)/sqrt84

(3sqrt21-4sqrt105)/21

500

#15

(2-sqrt8)/(sqrt3-2sqrt8)

-(2sqrt3+8sqrt2-2sqrt6-16)/29

Imaginary Numbers

100

#16

sqrt(-32)

4isqrt2

200

#17

i^20

1

300

#19

sqrt(-4)-sqrt(-16)

-2i

400

#21

(sqrt(-7))/(sqrt(-5))

(sqrt35)/5

500

#23

5sqrt(-8)+2sqrt(-50)

20isqrt2

Complex Numbers

100

#27

(-3+2i)+(5+6i)

2+8i

200

#31

(8-i)(4+3i)

35+20i

300

|6+8i|

10

400

#32

(4-3i)/(2+2i)

(1-7i)/4

500

#34

(sqrt(15)+sqrt(-1))(2sqrt(15)-sqrt(-1))

31+isqrt15