So for this, we will be simplifying √180 and √125 using the product rule of radicals (√ab = √a * √b)
Starting with √180: [tex] \sqrt{180}=\sqrt{10} *\sqrt{18} =\sqrt{5} *\sqrt{2}*\sqrt{9} *\sqrt{2}=3*2*\sqrt{5} =6\sqrt{5} [/tex]
Now with √125: [tex] \sqrt{125}=\sqrt{25}*\sqrt{5} =5\sqrt{5} [/tex]
Now that we have our simplified radicals, our equation looks like this: 6√5 - 5√5 + √5 . Combine everything, and your answer will be 2√5.
