35+42√2into 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:

94.39696962However, if I enter the expression

55+42√2into the same graphing calculator and then ask it for the fractional equivalent it displays:

37751 ----- 330But this second number I entered is clearly not rational either.

What's going on?