Chapter 20 Rational and Irrational Numbers

Example 20_1 pgno:251

In [2]:
#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)

    
(sqrt(5)+sqrt(20))
sqrt(27)-sqrt(75)+sqrt(48)

Example 20_2 pgno:252

In [3]:
#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  
i.e.,
1.21676051329

Example 20_3 pgno:252

In [4]:
#(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
i.e.,
0.38196601125