Question

Simplify (1-√3) (1÷3+√3) leaving your answer in the form p+q√3

Answer 1

`1-(2)/(3)√(3)`

Explanation:

Maybe you want to simplify ...

`(1-√(3))(1)/(3+√(3))`

Multiply numerator and denominator by the 'conjugate' of the denominator:

`(1-√(3))(1)/(3+√(3))\cdot(3-√(3))/(3-√(3))=((1-√(3))(3-√(3)))/(9-3)=(3-4√(3)+3)/(6)\\\\\boxed{1-(2)/(3)√(3)}`