6A 685E

1) (X+6)(X-4)13) 4+_1_ .J2... __ 3_

1) 43 =64 1) 24 = 164 4 13 51- =-6 - 1_2_ . "ts. _ "'S.. 52

2) X2 2) 21/62) (X + 9)(X + 1)3 "'S.... 'I-§.

3) 22 =4 3) X3/43) (X - 5)(X - 2) 5X 2 5X + 2 3X14) -- +-- -----163/4=8 4) (_3)2/3=91/32 2 2 6X2 -4 4)=

4) (8-X)(8+X) (3X)2X 4 6X2_4 3X(3X) - 3X ----- 1 13X 6X2 - 4 5) -9- 5) -2-

5) (2X - 5)(X - 6) 15X2 + 6X •=6) (~)3 = _8_ 6) .2• 12X2 -8

3 27 36) (3X - l)(X + 3)

.J57) 34 = 814 I 7) 23 =815) N..vK = 4.J57) (4X - 3)(X - 4) ~ 8) XB 8) 82

8) (X - 3)(X + 2) 16) 2.J1O = 's..J1O =.J1O 9) 6 9) 5-1 =+10110 1-Q.. 5

5 10) 92 =8110) 91f2=39) 2X2_18X+36=0 2(6)2_18(6)+36=0

11) (X1f2)1f2=X1/42(X2_9X+18)=0 72-108+36=00=0"/ 17) 9 -l4 -110= 9(2) .J1O= 18 .J1O11) [(X4)1f2]1f2 =X2(X - 6)(X - 3) = 0

2(3)2 - 18(3) + 36 = 0X=6 X=318-54+36 =0 0=0"/ 18) 6.J7 + 9-15 12) [(125)1/3]2=52=25

12) [(64)1/3]4=44=256=.J7 .fi -15 -1513) (85)1/3=85/3

13) (85)1/3= 85/3 =25 =3210) 9X2_24X+16=0 9(4/3)2 - 24(4/3) + 16 = 0 6 .J7 (5) 9 -15 (7) _(3X - 4)(3X - 4) = 0 16 - 32 + 16 = 0 0 = 0 ../ 7(5)+ 5 (7) - 14) (641/3)1f2=41f2=2

14) (161/4)1f2 = 21(2or-/2X =4/330.J7 + 63 .J5

35 15) (361f2)3 = 63 = 216 15) (491(2)2=4911) (V) (X-3) X-2(X)

(251f2)1(2 = 51f20r$ (A8)1/4=A2(V) 2X - 2V (X) =2 2 16) 16)

V(X - 3) - X(X - 2) = XV - 3V - X2 + 2X 19)(~X 103)(>4..x10-5)

17) [(64)1/6r3 = 64-1f2 =!. [(216)1/3r2 = 6-2 = ..!..=

2XV 2XV (1'8..X 105)('&.x108)8 17)

361 1

4 X 10-2 = 4 X 10-15 18) (811/4)1(2= 31f2or..,fS18) (1001f2)1(2= 101(2or..{fO

12)8X -2 (X + 2)(X+ 2) 1 X 1013

(J)=

X2 + 5X + 6 (X + 3)(X + 2)[(A16)1(2]1(2=A4 (811f2)1(2 =91(2 =3

Q.19) 19) S-8X - 2 - X2 - 4X -,4 _X2+ 4X - 6 ..(X-I--2j'(X + 5) X+5 o·20):::J

= =--(81/3)5= 25 = 32 (321/5)4= 24 = 16 (J)X2 + 5X + 6 X2 + 5X + 6 ~(X+2) X+2 20) 20)

U1mmOJ

<,

6C I 6D

1) (2)3 =8 15)(X + 4) 7X (X + 2) 2X

1) (27)2 = 729 15) (X +~) = 7(X - 8)=(X + 4) X + 2 (X + 2) X + 4

X + 4 = 7X - 56

2) 52 =257X(X + 4) - 2X(X + 2)

2) 92 =8160 = 6X

=(X + 4)(X+2) 10= X

3) X6/3 = X2 7X2 + 28X - 2X2 - 4X 3) 322 = 1024=(X + 4)(X+2)

5X2 + 24X16) (X - 2)(X - 3) _~ + (X + 4)(X + 3)

4) (10)5 = 100,000 4) (4)3 = 64 (X + 3)(X - 3) X2 _9 (X - 3)(X + 3)X2 + 6X + 8

X2 - 5X + 6 - X + 4 + X2 + 7X + 12

5) (Xl 12)1/3= Xl/616) (X-5)3X _~+ (X+5) 8 =

5) (641/2)1/3= 81/3 = 2 X2 - 9

(X - 5)(X+ 5) X2 _25 (X + 5)(X - 5) 2X2 + X + 22

6) [(27)1/3]2 = 32 = 9 (3X2 - 15X) - 5X + 8X + 40 = 6) (81/3)5 = 8513 = 32X2 - 9

X2 -25

7) [(16)1/4]112 = (2)112 3X2 -12X + 40 I 7) [(125) 113j'2 = (5)1/2 or ..J5X2 -25 17) 2(Y) +~ 2Y + 3X )/('(

X(Y) Y(X) = ~'-2-

8) (251/2)4 = 252 = 625 8) [(100)1/2]4 = 1002 = 10,0002 .....2" .:R(

17) 4X 1 4X-l ~ XY yx'.,.2'--- :;;- . 2X2+1X X= 2Y + 3X

9) (X - 7)(X + 2) 2X2 1 ~~ 9) (X + 3)(X + 3) -2--+- ~.~2X 2X

10) (5X - 1)(5X + 1) 8X - 2 110) (X+5)(X-5)2X2+ 1

18)~(X+5) 2X(X--Sj

11) (2X + l)(X - 3) 11) (X - 11)(X + 9) 2LX-3J(X + 3) .~18)

X~(X-1) X(X-3)~X(X + 5)=

2(X+3)~) ~(X+1)1 6 1 6 12) (2X - 3)(2X - 3) 5(X+ 3)

12) ('3X- 5)('3X+5 ) X2(X - l)(X - 3)2(X + 3)(X + 1)

13) X2 + X - 42 = 0 (-7)2 + (-7) - 42 = 013) 5X2 - 25X + 30 = 0 5(2)2 - 25(2) + 30 = 0 (X + 7)(X - 6) = 0 49 -7 - 42 = 0 0=0 ..;

19)8..JfO = 8..JfO = 4..JfO

5(X2 - 5X + 6) = 0 20 - 50 + 30 = 0 0 = 0 ..; 19)4..J2..J5 = 4..jfO X=-7,6 ..JfO..JfO 10 5

5(X - 2)(X- 3) = 0 15.[5 5 (6)2 + (6) - 42 = 0

X=2,3 5(3)2 - 25(3) + 30 = 0 36 + 6 - 42 = 0 0=0 ..;

45 - 75 + 30 = 0 0 = 0 ..;20) 7..J2 _8__ 7..J2 (3) 8 (4) _ 20) 6..J2 3$ 6..J2 3$

..J8..J2 - ...f.i - 4 (3) - 3 (4) - 14) X2-2X-15=0 (5)2 - 2(5) - 15 = 00=0 ..;

..J2..J2 - ...fj...fj = -2- - -6-= en14) X2+10X+25=0 (-5)2 + 10(-5) + 25 = 0 (X - 5)(X + 3) = 0 25 - 10 -15 = 0 0

(X + 5)(X + 5) = 0 , 25 - 50 + 25 = 0 0=0 ..; 21..J2 - 32 X=5, -3 (-3)2 - 2(-3) - 15 = 0...fj S.

12 0=0 ..; 3..J2 -- o·X=-5 9+6-15=0 2 :::J

(f)

OJ

~

I0OJ0

6E

1) (7)3 = 343

2) 54 =625

3) 105 = 100,000

4) (-8)2 = 64

5) (811/2)1/2=811/4=3

6) [(36)1/2]3 =63 = 216

7) [(XB)1/4]1/2 = XB/B = X

8) (10001/3r5=10-5= , __ 1 _1

or-105

9) (X - 2)(X -2)

10) (X + 5)(X + 5)

11) (X - 6)(X - 6)

12) (3X - 1)(X + 5)

13) 3X2 + 15X- 42= 0 3(-7)2 + 15(-7) - 42 = 03(X2 + 5X -14) = 0 147-105-42=0 ../

3(X + 7)(X- 2) = 03(2)2 + 15(2) - 42 = 0X=-7,2 12 + 30 - 42 = 0 ../

14) XLX-20=0 (5)2 - (5) - 20 = 0(X - 5)(X + 4) = 0 25-5-20=0 ../

X=5, -4(-4)2 - (-4) - 20 = 0,16 + 4 - 20 = 0../

15 8(2X) 2(3X) __ 5_ =) 3X(2X) 2X(3X) 6X2

16X - 6X - 5

6X2

10X - 5=---6X2

16) (X - 3)(X + 2) _ 4X + 3 _(X + 3)(X - 2),.. -"". n) XL 4 (X + 2)(X - 2)

X2 - X - 6 - 4X - 3 - X2 - X + 6 =X2 -4

-6X- 3

X2-4

17) !- _X(3)9 3(3)

X(2) 5(3)-+-12(2) 8(3)

8 - 24X6X+45

1 - 3X 2-4'B-.--K3 2X2+15

2J(...rl5 .24"'--X .2J(...rl5

18)(X-8)~

~)

X-8X-4

~(X-4)~

19) ~- ..Jf5..J3..J3 --3-

1-.ff 2.[2 -.ff ~20) -----=----=

-.ff -.ff ..J8 -J2 7 "2

-.ff (2) -J2 (7)~- 2(7)=

2-.ff - 7-J214

<,

7A ,.1) i

2) 7i

3) 8X3i

4) _1_1 i12

5) 2i + 10i = 12i

6) 2(3i) + 6 = 6i + 6

7) ,J4X2..j5 -Ff = 2Xi..j5

8) i-/A + i.J3

9) 3P.J4.J3 + 4-Ff,f8f -J2 = 6i.J3 + 36i-J2

10) 13i -18i = -5i

11) 10i +4

12) x..J3 + 2i

13) (i2)(i2) = (-1)(-1) = 1

14) iB= (i2)(i2)(i2)(i2) = (-1)(-1)(-1)(-1) = 1

15) (i2)(i2)(i) = (-1)(-1)(i) = i

16) i9 = (i2)(i2)(i2)(i2)(i) = (-1)(-1)(-1)(-1)(i) = i

17) (-120)(i2) = 120

18) 3i(i)(13) = 3(i2)(13) = -39

19) -.Ff.JT..Jj6 = 6i2 = -6

20) 2(15)(6)(2i) = 360i

7B

1) 15i

2) 11i

3) 7A2i

4) .12....i=2i5

5) 8i - 4i =4i

6) 18-4i

7) -Ff .J9X8..J5Xf = 3X4i.J5X

8) Xy2i + Xy2

9) 6..p.J2-JfOO -5$ = 68../2(10) -5(5) =

60i"f2 -25

10) 4i-J2 + 10i-J2 = 14i-J2

11) 3Ai + 9Ai = 12Ai

12) X2i + 4X2i = 5X2i

13) 6(-1)(-1) =6

14) i10 = (i2)(i2)(i2)(i2)(i2) = (-1)(-1)(-1 )(-1)( -1) = -1

15) (i2)(i2)(i2)(i) = (-1)(-1)(-1)(i) =-i

16) iB= (i2)(i2)(i2)(i2) = (-1)(-1)(-1)(-1) = 1

17) 50i2 = -50

18) 14i2 = -14 enQ.S-6'::lU>enm~OJ

19) -75

20) 6(13i)(2)(9i) = 1404i2 = -1404