(1.)    y2 - 4 = 0                here is the problem

+4  +4           add 4 to each side
_______________

y = 2   y = -2      take square roots

result:  y = 2,  y = -2

(2.)  x2 - 11 = 0             here is the problem

+ 11  +11           add 11 to each side
______________
__          __
x = √11    x = -√11       take square roots
__          __
results:  x = √11    x = -√11

(3.)  2r2 = 200                here is the problem
__   ____
2      2           divide each side by 2

r2 = 100            divide

r = 10     r = -10   take square roots

results:  x = 10    ,  r = -10

(4.)  3(a + 6)2 = 27            here is the problem
_________  ___
3        3         divide each side by 3

(a + 6)2 = 9                divide

a + 6 = 3     a + 6 = -3     take square roots

-   6  -6        - 6  -6    subtract 6 from each side
________________  ________________
a = -3  ,     a = -9         subtract

results:  a = -3,  a = -9

(5.)  (x + 7)2 = 49              here is the problem

x + 7 = 7     x + 7 = -7    take square roots

-7  -7        -7   -7    subtract 7 from each side
____________  _______________
x = 0  ,     x = -14       subtract

results:  x = 0  ,  x = -14

(6.)   5(b - 2)2 = 125            here is the problem
__________  _______
5       5          divide each side by 5

(b - 2)2 = 25          divide

b - 2 = 5      b - 2 = -5            take square roots

+   2  +2         +2   +2      add 2 to each side
_____________ ________________
b =   7   ,    b = -3         add

results:  x = 7  ,  b = -3

(7.)   (x + 17)2 = 49           here is the problem

x + 17 = 7         x + 17 = -7     take square roots

-17  -17          -17   -17   subt 17 fr ea side
________________    ________________
x    = -10   ,     x = -24          subtract

results: x = -10  ,  x = -24

(8.)   (x + 5)2 = 16             here is the problem

x + 5 = 4     x + 5 = -4       take square roots

- 5  -5          -5  -5    subtract 5 from each side
______________ _______________
x = -1    ,     x = -9       subtract

results:  x = -1   ,  x = -9

(9.)  10(3a + 7)2 = 1000              here is the problem
____________ _________
10           10         divide each side by 10

(3a + 7)2 = 100                 divide

3a + 7 = 10     3a + 7 = -10      take square roots

-7   -7          -7   -7     subt 7 from each side
_______________   _______________
3a   =    3     ,   3a  =  -17      subtract
___        ___     _____   _____
3        3          3      3    divide each side by 3

a = 1   ,    a = -5 2/3          divide

results:  a = 1  ,  a = -5 2/3

(10.)  4(3x - 2)2 = 36                  here is the problem
_________   ____
4         4         divide each side by 4

(3x - 2)2 = 9                      divide

3x - 2 = 3       3x - 2 = -3     take square roots

+  2  + 2             +2  +2   add 2 to each side
_______________   _________________
3x = 5        ,   3x =    -1       add
__  __            __     ____
3   3              3       3    divide each side by 3

x = 5/3     x = -1/3             cancel

results:  x = 5/3 ,  x = -1/3