Question

If a and b are rational numbers and 3+√2/3-√2=a +b √2 then find the value of a and b.

Answer 1

Step-by-step explanation:

(3 + √2)/(3 - √2) = a + b√2

From rationalisation

(3 + √2)² / (3 - √2)(3 + √2) = a + b√2

(9 + 2 + 6√2) / (3)² - (√2)² = a + b√2

(11 + 6√2) / (9 - 2) = a + b√2

(11 + 6√2) / 7 = a + b√2

(11/7) + (6/7)√2 = a + b√2

From Comparing

a = 11/7 , b = 6/7

Answer 2

Answer:

The answer is:

Step-by-step explanation:

a=5,b=6