Question

find the values of a and b in each of the following :
$3 + \sqrt{2} \div 3 - \sqrt{2 } = a + b \sqrt{2}$
​

Answer 1

ANSWER

A = 11 / 7 AND B = 6 / 7

QUESTION

3 + √2 / 3 - √2 = a + b√2

TO FIND VALUE OF A AND B

Rationalize the following terms:-

=> 3 + √2 / 3 - √2 X 3 + √2 / 3 + √2

=> ( 3 + √2 ) ^2 / 9 - 2

=> 9 + 2 + 6 √2 / 7

=> 11 + 6√2 / 7 = a + b√2

a = 11 / 7 and b = 6 / 7 = ANSWER