perplexus.info :: Just Math : A repeating irrational number?

A repeating irrational number? (Posted on 2005-06-06)

Can you explain why the fourth root of 9.1 is practically the same as 33/19? You shouldn't use even a calculator!

Submitted by e.g.

Rating: 3.1667 (6 votes)

Solution: (Hide)

Start with 11859210~11859211. This means 7×13×19⁴~2×3⁴×5×11⁴, so 91×19⁴~10×33⁴, and then 9.1~33⁴/19⁴, and thus √√9.1~33/19

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Solution	K Sengupta	2023-07-29 03:45:52
Why this is special	owl	2005-06-07 05:46:16
re(5): I has to use a calculator a little.	Cougar Draven	2005-06-07 00:16:52
re(4): I has to use a calculator a little.	pcbouhid	2005-06-06 23:02:07
re(3): I has to use a calculator a little.	Richard	2005-06-06 21:35:50
re(2): I has to use a calculator a little.	pcbouhid	2005-06-06 20:31:52
re: I has to use a calculator a little.	Richard	2005-06-06 19:47:47
I has to use a calculator a little.	Jer	2005-06-06 18:19:57

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