Question

Find the multiplicative inverse of: $\left(0.11\right)\left(\sqrt{0.11}\right)$

Answer 1

We know that the multiplicative inverse of a number $x\ne 0$ is $\frac{1}{x}$, which when multiplied by $x$ yeilds the multiplicative identity $1$ that is

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

Now, since

$\left(0.11\right)\left(\sqrt{0.11}\right)\times \frac{1}{\left(0.11\right)\left(\sqrt{0.11}\right)}=1$

Hence, the multiplicative inverse of $\left(0.11\right)\left(\sqrt{0.11}\right)$ is $\frac{1}{\left(0.11\right)\left(\sqrt{0.11}\right)}$.