Answer:
The quotient is 2-√3-2√2+√6/-2
Explanation:
To find the quotient of the surd
2-√8/4+√12 we will rationalize the surdic equation and this is done by multiplying the equation through with the conjugate of the denominator 4-√12 to have;
2-√8/4+√12 × 4-√12/4-√12
= (2-√8)(4-√12)/(4+√12)(4-√12)
= 8-2√12-4√8+√96/8-12
= 8-2√(3x4)-4√(2×4)+√(16×6)/-8
= 8-4√3-8√2+4√6/-8
4(2-√3-2√2+√6)/-8
(2-√3-2√2+√6)/-2
The quotient is therefore
2-√3-2√2+√6/-2