Answer:

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Step-by-step explanation:

1. Rationalizing the denominator of the first fraction:

Multiply both the numerator and the denominator by the conjugate of the denominator, which is (√7+√6):

(√7 - √6) * (√7+√6) / (√7 + √6) * (√7 + √6)

= (√7)^2 - (√6)^2 / (√7)^2 - (√6)^2

= 7 - 6 / 7 - 6

= 1 / 1

= 1

2. Rationalizing the denominator of the second fraction:

Multiply both the numerator and the denominator by the conjugate of the denominator, which is (√7-√6):

(√7+√6) * (√7-√6) / (√7 - √6) * (√7 - √6)

= (√7)^2 - (√6)^2 / (√7)^2 - (√6)^2

= 7 - 6 / 7 - 6

= 1 / 1

= 1

Therefore, the simplified expression is:

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

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