Question

if x=√7-√6 find the value of x+1/x​

Answer 1

ANSWER

x = √7 - √6

therefore, 1/ x = 1 / √7 - √6

So,

x + 1/ x = ( √7 - √6 + √7 - √6 )

= - 2√6 ANS

Answer 2

Step-by-step explanation:

x = √7 - √6

1/x = 1/√7 - √6

On rationalising the denominator, we get

1/√7 - √6 = 1(√7+√6) / (√7+√6)(√7-√6) = √7+√6/(√7)²-(√6)² = √7+√6/7-6 =√7+√6/1= √7+√6

Substituting the values of x and 1/x

$\sqrt{7} - \sqrt{6} + \sqrt{7} + \sqrt{6} = 2 \sqrt{7}$

Hope this helps you...

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