Question

How do you simplify the square root of 180 and how do you know that it is in simplest form?

Answer 1

\[\sqrt{180}\] = \[\sqrt{5\times36}\]
\[\sqrt{5}\times \sqrt{36}\]
\[\sqrt{5}=\sqrt{5}\]
\[\sqrt{36} = 6\] so
\[6\sqrt{5}\]

Answer 2

Refer to the attachment from Mathematica v9