Question

Plz help me in this question (with steps)

Answer 1

Hi friend,

=>(√2+√3)/(3√2-2√3)

Rationalising factor = 3√2+2√3

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

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

=>√2(3√2+2√3)+√3(3√2+2√3)/[(3√2)²-(2√3)²]

=>3(2)+2√6+3√6+2(3)/[9(2)-4(3)]

=>6+5√6+6/(18-12)

=> 12+5√6/6

=> 12/6 + 5√6/6

=> 2 + 5√6/6 = a + b√6

By comparing,

a = 2 and b = 5/6

Hope it helps...