Question

what is the simplified form of the following expression

Answer 1

the square root of 1/44

Answer 2

you know the square root of 144 ?

Answer 3

0.02272727272 I think its tht

Answer 4

lemme give you the multiple choice answers
1/12
1/288
12
2/144

Answer 5

can you factor 144 ???

like 70 will be 2*5*7

Answer 6

im not sure what it would be

Answer 7

then start dividing it by 2, if you can
144/2 = .. ?

Answer 8

72

Answer 9

72 divided by 2 is 36

Answer 10

36 divided by 2 18

Answer 11

go on ..

Answer 12

18 divided by 2 9

Answer 13

9 divided by 2 is 4.5

Answer 14

correct!
now 9 is not divisible by 2, then take next number 3
9/3 = ... ?

Answer 15

you get 4.5 but thats not an integer, thats why we got to 3

Answer 16

3

Answer 17

lol 9/3 is 3

Answer 18

yes, and 3/3 is 1
you stop when u get 1
so the factors are
144 =2*2*2*2*3*3
got this ?

Answer 19

ya so that's the factor

Answer 20

yup, now since we are taking square root, we combine 2 numbers ata atime
like 5*5*7*7 would be 5^2 * 7^2


so what about
2*2*2*2*3*3 ??

Answer 21

and square root of (5*5)*(7*7) will be 5*7

what about 2*2*2*2*3*3 ?

hint : (2*2)*(2*2)*(3*3)

Answer 22

wait what are you asking

Answer 23

we have 144 as 2*2*2*2*3*3 right ??
i just grouped 2 numbers at a time
(2*2)*(2*2)*(3*3)
any doubts here ?

Answer 24

no but what do you want me to do next

Answer 25

i want you to realize that when we take the square root of that we will consider the group as one number,
\(\sqrt{(2*2)*(2*2)*(3*3) }= 2*2*3\)
got this ?

Answer 26

ya sorta

Answer 27

ya and when you do the multiplication it makes 144

Answer 28

sol \(\sqrt{144}=2*2*3 = .. ?\)

Answer 29

wait is the answer to this question 1/12

Answer 30

yes, it is!
\(\sqrt {144}=12 , 1/\sqrt{144}=1/12\)
:)

Answer 31

I forgot the pemdas on the other thing affects the answer

Answer 32

yay thx!!!!!! tht really helped I understand it a lot better now

Answer 33

i am glad to hear that! welcome ^_^