Question

$\frac{ \sqrt{3 } + \sqrt{2} }{ \sqrt{3} - \sqrt{2} } = a + b \sqrt{6}$
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Answer 1

Answer:

a = 5 and b = 2

Step-by-step explanation:

(√3+√2)/(√3-√2) × (√3+√2)/(√3+√2)

(√3+√2)²/(√3-√2)(√3+√2)

(√3)²+(√2)²+2(√3)(√2)/(√3)²-(√2)²

3+2+2√6/3-2

5+2√6

comparing with a+b√6,

5+2√6 = a+b√6

we get a = 5 and b = 2