Question

How do i continue this question?? GCSE maths help. SURDS

Answer 1

`\sf\\(8+√(12))/(5+\sqrt3)\\\\=((8+√(12))(5-\sqrt3))/((5+\sqrt3)(5-\sqrt3))\\\\=(8(5-\sqrt3)+√(12)(5-\sqrt3))/(25-3)\\\\=(40-8√(3)+5√(12)-√(36))/(22)\\\\=(40-8\sqrt3+5(2\sqrt3)-6)/(22)\\\\`

`\sf\\=(34-8\sqrt3+10\sqrt3)/(22)\\\\=(34+2\sqrt3)/(22)\\\\=(17+\sqrt3)/(11)`

`\sf\\\textsf{which is in the form }(a+\sqrt3)/(b).`