Question

Find the values of a and b.
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Answer 1

Step-by-step explanation:

(√2+√3)/(3√2-2√3)=a-b√6

{(√2+√3)(3√2+2√3)}/{(3√2-2√3)(3√2+2√3)}

={√2(3√2+2√3)+√3(3√2+2√3)}/(18-12)

={6+2√6+3√6+6}/(6)

=(12+5√6)/(6)

Therefore,

(12+5√6)/6=a-b√6

therefore, a=(12/6)=2. , a=2

b=(-5/6)