How do you work out; 6 minus square root5 / 1 - square root 5

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11-07-2016
Mathematics

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How do you work out; 6 minus square root5 / 1 - square root 5

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apologiabiology apologiabiology · Answer 1 · 2016-07-11T20:39:11+02:00

apologiabiology apologiabiology

11-07-2016

remember difference of 2 perfect squares?
we do the same for denom, to get the √5 to 5

1-√5 times 1+√5=1-5

so what we do is
(6-√5)/(1-√5) times (1+√5)/(1+√5)=
(1+5√5)/(1-5)=
(1+5√5)/-4=
(-1-5√5)/4

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