if a and b are rational number and√11-√7/√11+√7=a-b√77 find the value of a and b
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Answer:
a=9/2; b=1/2
Step-by-step explanation:
√11-√7/√11+√7 (given)
on rationalizing the denominator with its conjugate, we get
(√11-√7/√11+√7)×(√11-√7/√11-√7)
⇒(√11-√7)^2÷(11-7)
⇒2(9-√77)÷4
⇒(9-√77)÷2
On comparing with a-b√77, we get a =9/2 and b=1/2
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