Question

Find the values of rational numbers a and b , if 2+ root 3/2- root 3= a+b root 3 find value of a and b

Answer 1

Answer:

your answer attached in the photo

Answer 2

Answer:

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+√6

On comparision with a+b√6, we see–

a=5 and b=2

[Answer]