Question

Write the rationalising factor for $2\sqrt{x}$.

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 $\sqrt{x}$ to $2\sqrt{x}$ to make $\sqrt{x}$, which is a rational number, as shown below:

$\left(\sqrt{x}\right)\times \left(2\sqrt{x}\right)=2x$ .

Hence, $\sqrt{x}$ is the rationalising factor of $2\sqrt{x}$.