Question

how can we write 5/6(√3+2) as 5(2-√3)/6

Answer 1

5/6(√3+2)

On rationalising

=5(√3-2)/6(√3+2)(√3-2)

=5(√3-2)/6(√3²-2²)

=5(√3-2)/6(3-4)

=5(√3-2)/-6

=5(2-√3)/6