Question

In general the rationalising factors of /3+/5

Answer 1

Answer:

If the given surd is of the form

p

a

+

q

b

Let n be the LCM of p and q.

If n is even then the rationalising factor is x

n−1

−x

n−2

y+x

n−3

y

2

−.....−y

n−1

So, here p=

2

1

,q=

3

1

n=LCM of 2,3=6 (even)

Hence, the rationalising factor is x

5

−x

4

y+x

3

y

2

−x

2

y

3

+xy

4

−y

5