Question

Find the multiplicative inverse of each of the following: $\sqrt{5}$

Answer 1

We know that the multiplicative inverse of a number $x$ is $\frac{1}{x}$, which when multiplied by $x$ yeilds the multiplicative identity $1$ that is

$x\times \frac{1}{x}=1$

Now, since

$\sqrt{5}\times \frac{1}{\sqrt{5}}=1$

Hence, the multiplicative inverse of $\sqrt{5}$ is $\frac{1}{\sqrt{5}}$.