What is the square root of #31# ?
3 Answers
Explanation:
All you need to do is take a calculator then press this sign
Explanation:
However if you are using this in algebra i would leave it as
#120041/21560 ~~ 5.5677644#
Explanation:
Since
Actually, every non-zero number has two square roots.
In the case of
When people say "the square root", they generally mean "the principal square root", i.e. the positive one.
Note that:
#5^2 = 25 < 31 < 36 = 6^2#
So the (positive) square root of
Using a calculator:
#sqrt(31) ~~ 5.56776436283#
but we don't need a calculator to find rational approximations to
There are at least
If
#(a^2+n)/(2a)#
Since
So a better approximation is:
#((11/2)^2+31)/(2*11/2) = (121/4+124/4)/11 = 245/44#
Repeat to get a better approximation:
#((245/44)^2+31)/(2*245/44) = 120041/21560 ~~ 5.56776438#