Question

if ( root 5 - root 6 ) ^2= a+b root 30 there find a and b​

Answer 1

Given,

         (√5 - √6)^2 = a+b√30

      so, 5 + 6 -2√30 = a + b√30

           11 - 2√30 = a + b√30

comparing both sides,

a = 11 and b = -2