Square root of 200
radical form

1) find a square that when u multiple with something else to get 200 
one would be 25 (25 x 8) 
2) youd get the square root of 25 times the square root of 8 
the square root of 25 is 5 so it would be 5 times the square root of 8 
3) so now your left with 5 times the square root of 8 
like step one you find a square that you can multiple with something else to get 8 
one would be the square root of 4 times 2 
4) the square root of 4 would be 2 
so now ur left with 5 times 2 times the square root of 2 
5) since there are no more squares when multiplied to get 2 besides 2 and 1 so ur answer is... 

10 times the square root of 2 

200=2^3*5^2
squared 2^3*5^2
apply exponent rule: squared 2^2*2*5^2
apply radical rule: squared 2, squared 2^2, squared 5^2
apply radical rule: squared 2^2=2 then 2squared2,squared5^2
apply radical rule: squared5^2=5 then 2squared2*5
refine to: squared2*10