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Thread: Irrational Lengths and √2

  1. #1 Irrational Lengths and √2 
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    Hello there! I was studying triangles and i came across this - if in a right triangle the base and perpendicular are 1 unit each, then the hypotenuse will be √2 units. But how can we measure an irrational length? What does an irrational length mean? Is it approximated to 1.4?

    The other question is that we say 7 is a rational no. Because 7 can be expressed in the form of p/q as 7/1
    Similarly, can √2 be expressed as √2 / 1 ? Does this make it RATIONAL?? Why not?


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  3. #2  
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    Quote Originally Posted by Gaurav(-26.7) View Post
    Hello there! I was studying triangles and i came across this - if in a right triangle the base and perpendicular are 1 unit each, then the hypotenuse will be √2 units. But how can we measure an irrational length? What does an irrational length mean? Is it approximated to 1.4?

    The other question is that we say 7 is a rational no. Because 7 can be expressed in the form of p/q as 7/1
    Similarly, can √2 be expressed as √2 / 1 ? Does this make it RATIONAL?? Why not?
    I am not a proper mathematician but I imagine that an irrational number is defined as a number that cannot be expressed as p/q when both p and q are any integers.

    You can easily measure the length √2 by drawing your triangle with the base and the perpendicular measured as 1 unit each. Then you measure your hypotenuse which will be √2 units in length


    Last edited by geordief; August 7th, 2017 at 09:49 AM.
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  4. #3  
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    Hmm, that helped. Thanks!��
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  5. #4  
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    Hmm, that helped. Thanks!😊
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  6. #5  
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    Quote Originally Posted by Gaurav(-26.7) View Post
    Hmm, that helped. Thanks!
    I am glad
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