Answer: [tex]6\sqrt{5}[/tex]
Step-by-step explanation:
In order to simplify a radical([tex]\sqrt{180}[/tex] in this case), you must factorize what is inside the radical so that you can take out a perfect sqaure to simplify it(not completly since 180 is not a perfect square)
Work :
[tex]\sqrt{180}[/tex] = [tex]\sqrt{36*5}[/tex]
[tex]\sqrt{36*5}[/tex] = [tex]\sqrt{6^2*5}[/tex]
Take the 6 out since [tex]\sqrt{6^2} = 6[/tex] and leave the 5 on the inside
Final Answer : [tex]6\sqrt{5}[/tex]
That's it!
