Question

find the value of a and b 2+√3/ 2-√3 = a+b√3​

Answer 1

Answer:

a = 7 and b = 4

Step-by-step explanation:

$==: \frac{2 + \sqrt{3}}{2 - \sqrt{3} } \\==: \frac{2 + \sqrt{3}}{2 - \sqrt{3} } * \frac{2 + \sqrt{3}}{2 + \sqrt{3} }\\==: \frac{4+3+4\sqrt{3} }{4-3} \\==: 7+4\sqrt{3}\\\\==: 7+4\sqrt{3} = a+b\sqrt{3}\\\\==: a = 7 and b = 4$

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