Question

answer. this. with. full solution.


question no. 15

Answer 1

hey!
#ur Ans
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I) 5+2√3/7+4√3 = a+b√3

==> now rationalise the denominator.

==>( 5+2√3)(7-4√3) / 7^2 -(4√3)^2

==> 35-20√3+14√3-8√3/ 49 -48

==> 35 -14√3 = a+b√3

compare a & b
we get

a = 35 , b = -14q
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2) √2 +√3/3√2 -2√3 = a-b√6

rationalise the denominator

==> (√2+√3)(3√2+2√3)/( 3√2)^2 -(2√3)^2

==> (12 +2√6 +3√6 +6)/ 18 - 12

==>( 18 +5√6) / 6 = a-b√6

==> 3+ 5√6/6 = a-b√6

compare a & b
we get,

a = 3 , b = -5/6

✌:-)☺