SOLUTION: Hi, I'm confused on how to find the simplest radical form. I know the process of how to get to the number which you have to simplify, but I do not know how to simplify. Find the a

Algebra ->  Pythagorean-theorem -> SOLUTION: Hi, I'm confused on how to find the simplest radical form. I know the process of how to get to the number which you have to simplify, but I do not know how to simplify. Find the a      Log On


   



Question 584390: Hi, I'm confused on how to find the simplest radical form. I know the process of how to get to the number which you have to simplify, but I do not know how to simplify.
Find the answer of x. Leave your answer in simpleest radical form.
This is what I've gotten so far:

a^2+b^2=c^2 ------> 5^2+4^2=c^2 ----->25+16=c^2 ----> sqrt(c^2)= sqrt(41)
Now, how do I put that "sqrt(c^2)= sqrt(41)" into simplest radical form? It'd really help! Thank you.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
41 is a prime number. sqrt%2841%29 is in simplest radical form.
If it was a different number, you would try to factor out a number that is a perfect square, and then simplify. For example,
sqrt%2848%29=sqrt%2816%2A3%29=sqrt%2816%29%2Asqrt%283%29=4sqrt%283%29
sqrt%286250%29=sqrt%28625%2A10%29=sqrt%28625%29%2Asqrt%2810%29=25sqrt%2810%29