If a and b are rational numbers and 3+√2/3-√2=a +b √2 then find the value of a and b.
Answers
Answered by
8
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
Answered by
1
Answer:
The answer is:
Step-by-step explanation:
a=5,b=6
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