Question

fimd x+1/x when x=√3-√2​

Answer 1

Answer:

$x = \sqrt{3} - \sqrt{2} \\ \\ \frac{1}{x} = \sqrt{3} + \sqrt{2}$

So that –

$x + \frac{1}{x} = \sqrt{3} - \sqrt{2} + \sqrt{3} + \sqrt{2} = 2 \sqrt{3}$

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Answer 2

Step-by-step explanation:

Given :

x = √3-√2

To Find :

x + 1/x

Solution :

Since x = √3 - √2

so, 1/x = 1/(√3 - √2)

or, 1/x = (√3 +√2)/(√3 - √2)(√3 + √2)

or, 1/x = (√3 + √2)/(√3² - √2² )

or, 1/x = (√3 + √2)/(3 - 2 ) = (√3 + √2)

So, x + 1/x = (√3 - √2) + (√3 + √2)

or, x + 1/x = 2√3