Question

Write the rationalising factor for $\sqrt{a}$

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 $\sqrt{a}$ to itself to make $\sqrt{a}$ a rational number as shown below:

$\sqrt{a}\times \sqrt{a}=a$

Hence, $\sqrt{a}$ is the rationalising factor of $\sqrt{a}$.