What is the square root of 180 simplified in radical form?

the answer is $6 \sqrt{5}$
to solve this, you'll have to find what two numbers multiply to give you $180$ and you simpler the numbers, the easier it will be to solve. so I chose $90 , 2$. you can't do anything with $2$ but with $90$, you can do $30 \cdot 3$ now $30$ which will be $10 \cdot 3$ now $10$ which will be $5 , 2$ now you look and see which pairs you have. so you have a pair of $2$ and a pair of $3$
so you have to multiply it. so you get $6$ but you still have $5$ left over and since he doesn't have a partner, he stays home $\sqrt{5}$