if a=2+√3 find a-1/a
harshit401620:
2 is the answer
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this your answer step by step process
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Step-by-step explanation:
a=2+√3
(2+√3) - 1/(2+√3)
taking LCM
((2+√3)(2+√3) - 1)/(2+√3)
(4 + 3 + 4√3 - 1)/(2+√3)
(6 + 4√3)/(2+√3)
rationalising the denominator
(6+4√3)(2-√3)/(2+√3)(2-√3)
(12-6√3+8√3-12)/(2²-(√3)²)
2√3/(4-3)
2√3
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