Question

Rationalise the denominator of the following:(5+√6) /(5-√6)​

Answer 1

{(5+√6)/(5-√6)} × {(5+√6)/{(5+√6)

= {25+6+2(5)(√6)}/(25-6)

= (31+10√6)/19

(31+10√6)/19 is the answer of this question.

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Answer 2

Answer:

Given:     (5+√6) /(5-√6)​

now,

rationalising the denominator

             = (5+√6) /(5-√6)​ × (5+√6) /(5+√6)

             = (5+√6)² /(5-√6)​​(5+√6)

now by using the formula (a+ b)(a-b) in the denominator,

             = (25 + 6 + 10√6) / (5)² - (√6)²

             = ( 31 + 10√6 ) / 25 - 6

             = (31 + 10√6) / 19

∴ So the correct answer is (31 + 10√6) / 19.

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