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Rational or not? (Posted on 2015-05-29) Difficulty: 2 of 5
If I enter the expression

35+42√2

into my graphing calculator and then ask it for the fractional (rational) equivalent it cannot do so. Since the number is irrational it displays the first few decimal digits:

94.39696962

However, if I enter the expression

55+42√2

into the same graphing calculator and then ask it for the fractional equivalent it displays:
37751
-----
 330 
But this second number I entered is clearly not rational either.

What's going on?

No Solution Yet Submitted by Jer    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): solution | Comment 4 of 5 |
(In reply to re: solution by Jer)

It's all the more surprising since I thought big-name calculator companies like TI  and HP carried guard digits up to 12 or 13 significant digits, even while displaying only 10.
  Posted by Charlie on 2015-05-31 14:09:48

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