Question

Simplify SQRT704 ? Not UnderStanding , Please Help .

Answer 1

break down 704 into its prime factors

Answer 2

or at least start hacking away at it by seeing what perfect squares will factor into it

Answer 3

4,9,16,25,36, ... are perfect squares

Answer 4

704/2 = 352
352/2 = 176
176/2 = 88
88/2 = 44
44/2 = 22
22/2 = 11

2.2.2.2.2.2.11 = 704 right?

Answer 5

\[704=2^6\times 11\] because
\[704=2\times 352=2^2\times 176=2^3\times 88=2^4\times 44=2^5\times 22\]
\[=2^6\times 11\]

Answer 6

But Why Are You Dividing By 2 ?

Answer 7

good morning!

Answer 8

becasue 2 is an easy number to divide by; it just whittles away at it till it gets small enough to see

Answer 9

also because you CAN divide by 2. if you have 75 you would divide by 3 and 5

Answer 10

divide by whatever number goes in to it until you have factored into the product of primes.

Answer 11

right, if you cant divide by 2, work your way up to 3 and 5 and 7 etc

Answer 12

now that its all factored, lets start pairing them up to move out of the radical.

since we have a square root; we want to group in 2s, like noahs ark

sqrt[(2.2).(2.2).(2.2).11] ; re work the math

sqrt[(4).(4).(4).11] ; re work again

sqrt(4).sqrt(4).sqrt(4).sqrt(11) ; re work again

2.2.2.sqrt(11) ; and one final try to get :)

6 sqrt(11)

Answer 13

typo

Answer 14

8 sqrt(11) :)

Answer 15

dont forget to remember how to multiply lol

Answer 16

\[\sqrt{704}=\sqrt{2^6\times 11}=2^3\times \sqrt{11}\]

Answer 17

yah division is easier

Answer 18

Hi Satellite & A.Mirstre.

Answer 19

saifooooooooooooooooooooooooooo!

Answer 20

Great Morning.

Answer 21

xD

Answer 22

? afternoon right?

Answer 23

here its 16:54pm.