Question

find a and b if 3+√24+√75=a+b√3
Pls answer

Answer 1

3+√24+√75=a+b√3

RHS=

3+√24+√75

=3+√2×2×3 + √3×5×5

=3+2√3+5√3

=3+7√3

LHS=

a+b√3

therefore, on comparing

a=3

b=7