Between what two consecutive integers do #sqrt250# lie?

1 Answer
Oct 21, 2015

Answer:

Between #15# and #16#

Explanation:

#15^2 = 225 < 250 < 256 = 16^2#

So

#15 = sqrt(225) < sqrt(250) < sqrt(256) = 16#

In fact

#sqrt(250) = [15; bar(1,4,3,3,4,1,30)]#

#= 15+1/(1+1/(4+1/(3+1/(3+1/(4+1/(1+1/(30+...)))))))#

#~~ 15.8113883#