Road Sign Math

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Extreme Roots

July 31st, 2006 · 3 Comments

ArizonaExemplary Sign

Gerald Thurman grabbed this sign while browsing the Maple Ash neighborhood in Tempe, Arizona.

Mr. Thurman stacks square roots on top of square roots to create a mathematical pyramid that a high school cheerleading squad would be jealous of.

\sqrt{\sqrt{20 - \sqrt{\sqrt{1600} - 24}}} = 2

This sign is on S. Ash Avenue near W. 10th Street in Tempe, Arizona. See sign on map!

Tags: Arizona

3 responses so far ↓

  • 1 Randy Weiss // Aug 8, 2006 at 10:30 pm

    Nice approach to the math here. But I think there are a couple more SQRTs than necessary:

    Work it UP from the inside:

    sqr (1600) = 40

    sqr (1600) - 24 = 16

    OK… but don’t take sqr again, do the subtraction first:

    ( 20 - sqr(1600) - 24) = 4

    now only one sqr more = 2

    Actual formula should be:

    sqr { 20 - [ sqr(1600) - 24 ] } = 2

    – Randy Weiss

  • 2 Jamie Thingelstad // Aug 10, 2006 at 10:44 pm

    Randy, I’m not following your math here. You suggest

    ( 20 - sqr(1600) - 24) = 4

    Doesn’t that really result in

    ( 20 - sqr(1600) - 24) = 20 - 40 - 24 = -44

    I get -44 not 4.

    Hence, Mr. Thurman’s solution stands.

    Am I missing something?

  • 3 Jamie Thingelstad // Aug 10, 2006 at 10:47 pm

    I think I see that you had a typo in your first comment. Your final suggestion is valid.

    sqr { 20 - [ sqr(1600) - 24 ] } = 2

    This is indeed true. However, Mr. Thurman has simply used additional root functions to get the grouping needed resulting in a higher score and a more beautiful solution. This seems like it’s just a defensive post.

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