How do you simplify sqrt (30)?

Jun 22, 2017

You look for perfect squares that can go inside this number. The perfect squares are : $1$, $4$, $9$, $16$, $25$, $36$... it continues infinitely but since we have already passed the desired number of $30$, I will stop here.
$1$ does not count since you are just dividing by $1$, which is basically the same as doing nothing.
Since $4$, $9$, $16$, $25$ are not factors of $30$, or any other perfect square, this expression cannot be simplified further.