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

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

How do i continue this question?? GCSE maths help. SURDS-example-1
User Shamitha
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1 Answer

2 votes

Answer:


\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).

User Jin Kim
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