Question

simpify by rationalizing the denominator
$5 + \sqrt{6} \div 5 - \sqrt{6}$
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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:-

(31 + 10√6)/19

Solution:

We have ;

(5 + √6)/(5 - √6)

Multiplying the numerator and the denomination with (5 + √6) we have ;

=> (5+√6)•(5+√6)/(5-√6)•(5+√6)

=> (5+√6)²/{5² - (√6)²}

=> {5² + 2•5•√6 + (√6)²}/{5² - (√6)²}

=> (25 + 10√6 + 6)/(25 - 6)

=> (31 + 10√6)/19