Question

86) If a and b are rational number
and 2-√3 /2+√3 = a + b√3
Find the
values of a and b.
​

Answer 1

Answer:

a=7 ,b=. -4

Step-by-step explanation:

LHS

2-√3/2+√3

Multiplying num and deno.. by. (2-√3),we get

(2-√3)^2 / (2+√3)x(2-√3)

=4-(2×2×√3)+3. /(2+√3)x(2-√3) ( using( a-b)^2 =a2 -2ab+b2. )

=7-4√3 / 4-3. ( a+b x a-b = a2-b2 )

= 7-4√3

or, 7+(-4√3)

RHS

a + b√3

So comparing we get,

i). 7=a. ( answer 1)

ii) -4√3=b√3

=) -4= b (answer 2)

Hope u got it !