If a=2√3, then find the value of a-1/a
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Answer:
11√3 / 6
Step-by-step explanation:
a = 2√3
1/a = Rationalize 2√3
1/a = 1 / 2√3 * 2√3 / 2√3
1/a = 2√3 / (2√3)²
1/a = 2√3 / 4 x 3
1/a = 2√3 / 12
∵ a - 1/a = 2√3 - 2√3/12
a - 1/a = 24√3 - 2√3 / 12
a - 1/a = 22√3 / 12
a - 1/a = 11√3 / 6 ans.
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