Question

) If x = 2√3 + 2√2 , evaluate:
(ii) x -
1/x​

Answer 1

Answer: 3√3/2 + 5√2/2

As x=2(√3+√2)

We rationalize the denominator

1/x=1/2(√3+√2)

1/x=(√3-√2)/2

x-1/x

=2(√3+√2)-(1/2)*(√3-√2)

=2√3+2√2-(1/2)*√3+(1/2)*√2

=(3/2)×√3+(5/2)×√2

=(3√3)/2 + (5√2)/2