Question

find the value of a and b if 5+√6_5-√6= a + b √ 6​

Answer 1

Step-by-step explanation:

Given in the question that (5+√6)/(5-√6)= a+b√6

(5+√6)(5+√6)/(5-√6)(5+√6) = a+b√6

(5+√6)2/(5)2 – (√6)2 = a+b√6 (

25 + 6 + 10√6) / (25-6) = a + b√6

(31 + 10√6)/ 19 = a + b√6

31/19 + 10√6/19 = a + b√6

a = 31/19 and b = 10/19

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