or "racionalisati"

]]>When I was young we had to do all our calculations long hand or by use of log tables. (computers were still steam driven in those days and each one filled a building!)

So it made sense to rationalise denominators. We were also made to learn that

√ 2 ≈ 1.414

√ 3 ≈ 1.732

√ 5 ≈ 2.236

It's surprising how many calculations could be done with just that.

But now we have calculators. Does it matter any longer? I think like bobbym, only if the question says you must rationalise. Or rationalize. ( depending on where you are in the world :-) )

Bob

]]>Slightly larger denominator. Multiplication tends to smear out significant digits and division by large numbers does not. One is an error amplifier(multiplication) and one is an error reducer. This is only a very rough definition but it is how I understand it. Division by a bigger constant is slightly better,

]]>Bobbym what do you mean by stable numerically?

]]>Both forms are obviously correct although the rationalized denominator is slightly more stable numerically. I would think they should only take points off for the first form if the question states rationalize the denominator.

]]>Just a throwback from the past? What do you guys think?

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