Question

$\frac{5 + \sqrt{3} }{2 - 2 \sqrt{3} } = a + b \sqrt{3}$
then find a and b​

please answer

Answer 1

Answer:

To find the value of a and b

We want to solve the given equation

$= \frac{5 + \sqrt{3} }{2 - 2 \sqrt{3} } \times \frac{2 + 2 \sqrt{3} }{2 + 2 \sqrt{3 } } \\ \\ \\ = \frac{16 + 12 \sqrt{3} }{4 - 6} \\ \\ \\ \\ = \frac{2(8 + 6 \sqrt{3} }{ - 2} \\ \\ \\ = - (8 + 6 \sqrt{3)}$

Step-by-step explanation:

a =8 and b =6

Hope it's helpful

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