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It can't be true ... can it?


Spike, aren't you a math guy?

Have you ever seen this before?

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6/10/2018, 11:01 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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Re: It can't be true ... can it?


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Spikosaur, of the Uncircumcised Umbrella, Prophet to The Collectors, OA, RMC

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6/12/2018, 12:14 am Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
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Re: It can't be true ... can it?


Ex, did this answer your question? I solve this kind of problem every day. It is my meat and potatoes.

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6/14/2018, 9:51 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
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Re: It can't be true ... can it?


when I first saw it, I didn't believe it. so I used several methods to see if it was equal and did agree with the equality

I guess my thinking was a) what did you think when you first saw it, b) did you ever see this mathematical oddity before

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6/14/2018, 10:54 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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Re: It can't be true ... can it?


When I first saw it, my mind played a trick on me and raised questions about the rationality of the square root of 2. As you may be aware, the square root of 2 is irrational. My first glimpse at it caused me some irrational confusion in that regard.

I have never seen a problem like this. However, I immediately knew how to approach it. The only way there could be a 2 outside of the radical in the second iteration was if there were a 4 inside the radical in the first iteration. I immediately started looking for a way to rewrite 2 2/3 so that it had a factor of 4 multiplied by some fraction. There was only one way to do that, so I proceeded.

This problem is more of a mind trick than a mathematical oddity. The appearance of the same mixed number, first with all its parts inside the radical, and second with the whole number outside of the radical. plays games with one's mind. It takes one a moment to realize that the 2 next to the fraction inside the radical represents addition and the 2 outside of the radical, but next to it, represents multiplication.

That describes my exact thinking when I encountered this. It WAS a fun problem.

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Spikosaur, of the Uncircumcised Umbrella, Prophet to The Collectors, OA, RMC

Hail Apostle Paul
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6/14/2018, 11:12 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
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Re: It can't be true ... can it?


OK Spike:

what is the area of the large square?

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8/21/2018, 10:57 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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Re: It can't be true ... can it?


Unless I have made a mistake, it is 135.

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8/22/2018, 12:46 am Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
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Re: It can't be true ... can it?


excellent! that's the number I got.

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8/22/2018, 9:10 am Link to this post Send Email to Exyooper   Send PM to Exyooper
 
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Re: It can't be true ... can it?


I just dropped this into Google image search and a lot of results came up. Here is one:

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Any more, I feel embarrassed when I actually think about a problem. emoticon

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Spikosaur, of the Uncircumcised Umbrella, Prophet to The Collectors, OA, RMC

Hail Apostle Paul
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8/22/2018, 11:15 pm Link to this post Send Email to Spikosauropod   Send PM to Spikosauropod
 
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Re: It can't be true ... can it?


The perpendicualar dropped from the vertex of the right angle upon the hypotenuse divides it into two segments of 9 & 16 feet respectively. Find the lengths of the perpendicular and the two legs of the triangle.


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8/23/2018, 12:52 pm Link to this post Send Email to Exyooper   Send PM to Exyooper
 


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