Question

what is the rational factor of (x√y+y√x)​

Answer 1

We know that If the product of two surds is a rational number, then each factor is a rationalising factor of the other.

Now multiply

xy

to itself to make

xy

a rational number as shown below:

(

xy

)×(

xy

)=xy

Hence,

xy

is the rationalising factor of

xy

.