Question

Estimating Square Roots need help A.S.A.P

Answer 1

you calculate the root using a calculator and round it up.

Answer 2

\[\sqrt{175}\] let 10.5 be you initial guess
\[\frac{ 13.5+\frac{ 170 }{ ? } }{ 2 }\approx13.0463\]

Answer 3

i

Answer 4

you don't need to guess, can't you use a calculator (if you are NOT asked to find the exact value of it) ?
\[Calculator: ~~~~~~~~~~\sqrt{175}=13.22875655532295≈13.23\]

Answer 5

A.13.5

B.12.6

C.175

D.2

Answer 6

Fill in the missing information in the problem to find \[\sqrt{175}\] by using the Babylonian method. Let 10.5 be your initial guess.

Answer 7

Oh, I never used that method, idk.

Answer 8

hey

Answer 9

@random777

Answer 10

A.13.5

B.12.6

C.175

D.2

Answer 11

hi @amistre64

Answer 12

can either one yall help me?

Answer 13

make a guess: 10.5

divide the original number by that guess: 175/10.5

find the average: (175 + 175/10.5)/2

that is your new guess
.....................................................


the sqrt(n) ...

(n + n/g)/2 = g1

(n + n/g1)/2 = g2

(n + n/g2)/2 = g3

eyc ....

Answer 14

i still dont get it

Answer 15

seems like i messed up a little, you take the average of your "guesses"

Answer 16

\[g_n=\frac{[g_{n-1}]^2+n}{2g_{n-1}}\]

sooo

\[g_n=\frac{[10.5]^2+175}{2(10.5)}\]
\[13.58333=\frac{[10.5]^2+175}{2(10.5)}\]

Answer 17

so the answer is A?

Answer 18

A.13.5

B.12.6

C.175

D.2

Answer 19

yes, ideally it is 13 point 'something' so A seems to fit pretty good

Answer 20

ok

Answer 21

can you give me a medal