Question

if a=√3 then find the value of a-1/a​

Answer 1

Answer:

2√3/3

Step-by-step explanation:

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Answer 2

Answer:

$\boxed{\dfrac{2\sqrt{3}}{3}}$

Step-by-step explanation:

$a - \dfrac{1}{a}\\\\\\= \dfrac{a^2 - 1}{a}$

Put a = √3

$\dfrac{(\sqrt{3})^2 - 1}{\sqrt{3}}\\\\\\= \dfrac{3 - `1}{\sqrt{3}}\\\\\\= \dfrac{2}{\sqrt{3}}$

Multiplying Numerator and Denominator by √3, we have

$\dfrac{\sqrt{3}(2)}{(\sqrt{3})^2}\\\\\\= \boxed{\dfrac{2\sqrt{3}}{3}}$