Question

What is the square root of 3?

Answer 1

Bad question.

Answer 2

Go away

Answer 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)

Answer 4

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 ;)

Answer 5

1.73205080757
your answer^