Question

What is the additive and multiplicative inverse of square root of 10

Answer 1

Given the figure below

`\sqrt[]{10}`

Let n be the number,

Additive inverse formula is

`n+(-n)=0`

The additive inverse of the number is

`\begin{gathered} -\sqrt[]{10} \\ i.e\text{ }\sqrt[]{10}+(-\sqrt[]{10})=\sqrt[]{10}-\sqrt[]{10}=0 \end{gathered}`

Hence, the additive inverse is

`-\sqrt[]{10}`

Multiplicative inverse of n is

`n*(1)/(n)=1`

The multiplicative inverse of the number is

`\begin{gathered} \frac{1}{\sqrt[]{10}} \\ i\mathrm{}e\text{ }\sqrt[]{10}*\frac{1}{\sqrt[]{10}}=1 \end{gathered}`

Hence, the multiplicative inverse is

`\frac{1}{\sqrt[]{10}}`