For a right triangle, using the Pythagorean theorem you can find the hypotenuse measure as follow:
[tex]\begin{gathered} hypotenuse^2=leg1^2+leg2^2 \\ hypotenuse=\sqrt{leg1^2+leg2^2} \\ \\ hypotenuse=\sqrt{4^2+6^2} \\ hypotenuse=\sqrt{16+36} \\ hypotenuse=\sqrt{52} \end{gathered}[/tex]
Then, the length of the hypotenuse is √52 inches. The radicand is not a perfect square (has not an exact square root). Therefore, the length of the hypotenuse is not a rational number (it can no be the result of the division of two integers)
