If $c^2 = 12$, then show that $c$ is an irrational number.
138193
Why is $\sqrt {12} = 2 \sqrt 3$?
126074
Proof of the irrationality of $\sqrt{3}$ - logic question
143733
Is this proof that $\sqrt 2$ is irrational correct?
50555
Approximation of real number to the power of irrational
101028
Irrational numbers and Borel Sets
152512
What is the ratio of rational to irrational real numbers?
4381
Proof that the set of irrational numbers is dense in reals
87764
Prove that the difference between two rational numbers is rational
20834
Integer solutions to $c=a^2-b^2$
129433
$\sqrt{m_1}+\sqrt{m_2}+ \cdots + \sqrt{m_n}$ is Irrational
80304
Roots of $\,ax^2+bx+c\,$ are irrational if $a,b,c$ are odd integers
40009
Show that $e^{\sqrt 2}$ is irrational
78287
Prove that if $n$ is not the square of a natural number, then $\sqrt{n}$ is irrational.
109953
How to prove that $\sqrt 3$ is an irrational number?
5729
If $a^2+b^2+c^2=1$ then prove the following.
56967
Show that $ f^2 − g^2 = C $ for some real constant C
30622
Proving $\sqrt 3$ is irrational.