find the values of a and b if.3+root 2 upon 3-root 2=a+b root 2
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3+√2/3-√2=a+b√2
⇒3+√2 × 3+√2/ 3-√2 × 3-√2 = a+b√2
⇒(3+√2)² / (3)²- (√2)² = a+b√2
⇒(3)² + (√2)² + 2(3)(√2) / 9 - 2 = a+b√2
⇒9 + 2 + 6√2 / 7 = a+b√2
⇒11 + 6√2 / 7 = a+b√2
⇒11/7 + 6√2/7 = a+b√2
so, a = 11/7
b = 6/7
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