Find the multiplicative inverse of -2 - -3- - -2 - -3- - Maths Q - A

Find the multiplicative inverse Let x=2 √(3)/2+√(3)The multiplicative inverse of a number is its reciprocal. So, 1/x=1/2 √(3)/2+√(3)⇒x^ 1=2+√(3)/2 √(3)Therefore ...

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Standard XII

Mathematics

Properties of Iota

Find the mult...

Question

Find the multiplicative inverse of $\frac{2 - \sqrt{3}}{2 + \sqrt{3}}$ .

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Solution

Find the multiplicative inverse
Let $x = \frac{2 - \sqrt{3}}{2 + \sqrt{3}}$
The multiplicative inverse of a number is its reciprocal.
So, $\frac{1}{x} = \frac{1}{\frac{2 - \sqrt{3}}{2 + \sqrt{3}}}$
$\Rightarrow x^{- 1} = \frac{2 + \sqrt{3}}{2 - \sqrt{3}}$
Therefore, the multiplicative inverse of $\frac{2 - \sqrt{3}}{2 + \sqrt{3}}$ will be $\frac{2 + \sqrt{3}}{2 - \sqrt{3}}$ .

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