Question

Find rational numbers a and b such that :-

(√3+√2)/(√3-√2) = a+b√6​

Answer 1

Answer:

Step-by-step explanation:

Given:

(√3+√2)/(√3-√2) =a+b√6

Multiplying numerator and denominator of LHS with (√3+√2) we get―

=(√3+√2)(√3+√2)/[(√3-√2)(√3+√2)]

=[(√3+√2)^2]/(3-2) [using (a+b)(a-b)=a^2-b^2]

=(3+2+2√6)/1

=5+2√6

On comparision with a+b√6, we see–

a=5 and b=2

Answer 2

Step-by-step explanation:

Hope this helps you.

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