whats the square root 137

Question

rebeccaxhawaii · Answer

https://www.google.com/webhp?sourceid=chrome-instant&rlz=1C5CHFA_enUS621US621&ion=1&espv=2&ie=UTF-8#q=calculator

rebeccaxhawaii · Answer

http://prntscr.com/bcio6r click that, then type in 13.

rebeccaxhawaii · Answer

137*

kittyloli · Answer

11.704

dustin_whitelock · Answer

Are you asking for the method of answering using long division?

kittyloli · Answer

$$\sqrt{137}=11.704$$

zzr0ck3r · Answer

The only way to write $\sqrt{137}$ is $\sqrt{137}$. $137$ is prime so any other way you write it is an approximation.

plainntall · Answer

If you want to guess you can use Newton's method.

f(x)=x^2-137
f'(x)=2x
x-f(x)/f'(x)=x -(x^2-137)/2x

so if we start with 11 since 137 is between 11^2=121 and 12^2=144

11-(121-137)/2(11) = 11 - (-16/22) = 11+ .7 = 11.7

running the approximation a second time with the value 11.7 we get

11.7 -( 136.89-137)/2(11.7) = 11.704

and again

11.704 - (136.9836-137)/2(11.704)=11.7046

you can keep doing that for as far as you want to take the decimal place using the equation

x-(x^2-n)/2x) where x is your guess and n is the number you are trying to find the root for.