Question

Write the simplest form of rationalising factor for the given surd.

${\displaystyle \sqrt{50}}$

Answer 1

Since , ${\displaystyle \sqrt{50}=\sqrt{25\times 2}=5\sqrt{2}}$

∴ ${\displaystyle 5\sqrt{2}\times \sqrt{2}=5\times 2=10}$ is a rational number.

So,${\displaystyle \sqrt{2}}$ is the simplest form of rationalising factor.