If 3/(sqrt(3 + 1)) + 5/(sqrt(3 - 1)) = a + b * sqrt(3) , find a and b.
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Answer:
Correct option is
A
a=2,b=−1
Given,
3
+1
3
−1
=a+b
3
On rationalizing, we get
(
3
+1)(
3
−1)
(
3
−1)(
3
−1)
=a+b
3
⇒
2
3+1−2
3
=a+b
3
⇒2−
3
=a+b
3
Comparing a=2,b=−1
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