Answer:
6[tex]\sqrt{5}[/tex] or approximately 13.416407865
Step-by-step explanation:
List all of the factors of 180.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Find the perfect squares from the list such as:
1, 4, 9 and 36
Choose the biggest one and divide 180 by it.
180 / 36 = 5
Calculate the square root of your square number
[tex]\sqrt{36}[/tex]=6
Your answer is 5[tex]\sqrt{6}[/tex] (in its simplest radical form)
If you wanted to calculate the answer as a decimal, 5 x [tex]\sqrt{6}[/tex] = approximately 13.416407865
