How do you simplify $(7-sqrt7)/(10+sqrt3)$ ?

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Answer 1 · 2018-03-28T19:42:58

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Given expression ,

$(7-sqrt7)/(10+sqrt3)$

We get,

$(7-sqrt7)/(10+sqrt3) * (10-sqrt3)/(10-sqrt3) =$ $((7-sqrt7)*(10-sqrt3))/(10^2-(sqrt3)^2)=$ $(70-7sqrt3-10sqrt7+sqrt21)/97$

How do you simplify (7-sqrt7)/(10+sqrt3)(7-sqrt7)/(10+sqrt3)?