# Thread: Irrational Lengths and √2

1. 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?

2.

3. Originally Posted by Gaurav(-26.7)
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

4. Hmm, that helped. Thanks!��

5. Hmm, that helped. Thanks!😊

6. Originally Posted by Gaurav(-26.7)
Hmm, that helped. Thanks!