9. A real number x is defined to be a rational number providedthere exist integers m and n with n does not equal 0 such that x=m/n.

A real number that is not a rational number is called anirrational number. It is known that if x is a positive rationalnumber, then there exist positive integers m and n with n does notequal 0 such that x= m/ n . Is the following proposition true orfalse? Explain. For each positive real number x, if x isirrational, then sqrt(x) is irrational.