Question

6√3+7√2/√108+√50=a+b√6 then find the value of 6a/b

Answer 1

Answer:

19

Step-by-step explanation:

6√3+7√2/√108+√50=a+b√6

rationalise the denominator first:

you will get 108-30√6+42√6-70/58a+b√6

38+12√6/58=a+b√6

a=38/58=19/29

b=12/58=6/29

therefore 6a/b

6(19/29)÷6/29

6×19/29×29/6

6 & 29 gets cancelled

hence 19 is the ans