Continued Square Roots
The long ( infinitely
� ! ) row of complicated-looking square root signs within this problem put it
firmly in the �Einstein cartoon � category, as far as Maths problems go, but
a bit of investigating will reveal pleasant surprises � The Problems : 1. Find the exact value
of the infinite sequence of square roots :
( If you have a
calculator with the previous �ANS� button on it, then your working can be
repeated automatically by just pressing the �=� button repeatedly once
you�ve figured out the sequence of steps you want to do ) 2. Repeat the problem
for :
You may be feeling
happier about these long sequences by now � 3. What about
? 4. Does
work out nicely ?
Open the File as a Word Document
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