Question

Find the values of a and b if 5+√6

5−√6

= a +√6 b​

Answer 1

Answer:

(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

Step-by-step explanation:

Please mark me as brilliant