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walne
What is the square root of 3?
The square root of three is an irrational number. Its approximation is 1.73205......(as I said, it never ends. That is the reason that it is irrational)
I can prove that \(\sqrt3 \) is irrational. First assume that \(\sqrt3\) is rational. As per the definition of rational numbers, a rational number is the division of two co-prime integers \(p\) and \(q\). \( \color{Black}{\Rightarrow {\Large {p\over q}} = \sqrt3}\) Squaring both sides: \( \color{Black}{\Rightarrow \Large {p^2 \over q^2} \normalsize = 3}\) Multiply both sides by \(q^2\). \( \color{Black}{\Rightarrow q^2 = 3p^2}\) Continue from here ;)
1.73205080757 your answer^