the value of 1/2-√3-3/√6+√3+2/2+√6
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Step-by-step explanation:
Given (√3 - 1) / (√3 + 1)
( rationalize numarator and denominator(√3 - 1) )
⇒ (√3 - 1)(√3 - 1) / (√3 + 1)(√3 - 1)
⇒ (√3 - 1)2 / (3 - 1)
⇒ (3 + 1-2√3 ) / 2
⇒ (2 -√3 ) = a+b√3 ⇒ a = 2 and b = -1
_______________ii method______
Given √2 + √3) / (3√2-2√3)
( rationalize numarator and denominator (3√2 + 2√3 ) )
⇒ (√2 + √3)(3√2 + 2√3 ) / (3√2-2√3)
(3√2 + 2√3 )
⇒ (12 + 5√6) / (18-12)
⇒ (2 + (5√6) /6 ) = a-b√6
a = 2 and b = -5/6.
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