SOLUTION: What is the square root of 180 written in simplest radical form?

Algebra ->  Square-cubic-other-roots -> SOLUTION: What is the square root of 180 written in simplest radical form?      Log On


   

Question 247361: What is the square root of 180 written in simplest radical form?
Found 3 solutions by College Student, checkley77, solver91311:
Answer by College Student(505) About Me  (Show Source):
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
SQRT180=SQRT(36*5)=6SQRT5 ANS.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


You need the prime factorization of 180 to start.

180 is divisible by 2, 180/2 = 90; one factor of 2
90 is divisible by 2, 90/2 = 45; two factors of 2
45 is not divisible by 2, but 4 + 5 = 9 is divisible by 3, so 45 is divisible by 3, 45/3 = 15, one factor of 3
15 is divisible by 3, 15/3 = 5, two factors of 3
5 is prime.

So the prime factorization of 180 is

Now you can write:



But that can be written:




John