#ex(1) (sqrt(5)+sqrt(20))
from math import sqrt
val=(sqrt(5)+sqrt(20))
print ('(sqrt(5)+sqrt(20))');
if((sqrt(5)+sqrt(20))==3*sqrt(5)):
val_1=(val)
#ex(2) sqrt(27)-sqrt(75)+sqrt(48)
print ('sqrt(27)-sqrt(75)+sqrt(48)');
val_2=(val)
#1/(sqrt(5)-sqrt(2))
from math import sqrt
#rationalising the denominator
denom1=(sqrt(5)+sqrt(2))*(sqrt(5)-sqrt(2))
numer1=(sqrt(5)+sqrt(2))
val=(numer1/denom1)
print("i.e.,")
print val
#(sqrt(5)-1)/(sqrt(5)+1)
from math import sqrt
#rationalising the denominator
denom1=(sqrt(5)+sqrt(1))*(sqrt(5)-sqrt(1));
numer1=(6-2*sqrt(5))
val=(numer1/denom1)
print("i.e.,")
print val