if a =root 7 -6/root +6 and b=root 7 = root 6 /root 7 - root find the value of a2+b2 + ab
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Answer:
Step-by-step explanation:
x =(√7+√6)/(√7-√6)
x + 1/x = (√7+√6)/(√7-√6)+(√7-√6)/(√7+√6)
= {(√7+√6)² + (√7-√6)²}/{(√7+√6)(√7-√6)}
= 2(7+6)/{7-6}
= 2× 13/1
= 26
(x + 1/x)² = 26² = 676
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