Question

Rationalize the denominator of 1/(4+2√3)

Answer 1

1/(4+2√3)
=1/{2(2+√3)}
=1/{2(2+√3)} * (2-√3)/(2-√3)
=(2-√3)/{2(2+√3)(2-√3)}
=(2-√3)/{2(4-3)} ; (a+b)(a-b)=a²-b²
=(2-√3)/2
=2/2 -√3/2
=1-√3/2

Answer 2

=1/(4+2√3)

4+2√3=2(2+√3)

=1/[2(2+√3)]×(2-√3)/(2-√3)

=1(2-√3)/[2(2+√3)(2-√3)

=(2-√3)/2(2²-√3²)

=(2-√3)/2(4-3)

=(2-√3)/2(1)

=(2-√3)/2

=1-√3/2

Hope it helps