Question

5+3√2/5-3√2 = a + b√2​

Answer 1

Step-by-step explanation:

5+3√2(5+3√2)/25-18

(5+3√2)^2=25+18+30√2

43+30√2/7

a=43/7

b=30/7

Answer 2

Answer:

(5+3√2)/(5-3√2) = a+b√2

taking L.H.S

[(5+3√2)/(5-3√2)]×(5+3√2)/(5+3√2)] (rationalisation)

(5+3√2)^2/7

(43+30√2)/7

comparing with R.H.S

a=43/7

b=30/7