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Sagot :
Answer:
r = 5 ; s = -9
Step-by-step explanation:
Radical simplification.
First simplify √8 by
- Prime factorize 8
- Make pairs of similar factor
- Take one factor out of every pair.
[tex]\sf \sqrt{8}=\sqrt{2*2*2} = 2\sqrt{2}\\[/tex]
[tex]\sf \dfrac{5+\sqrt{2}}{4}+\sqrt{8}= \dfrac{5+\sqrt{2}}{4}+ 2\sqrt{2}[/tex]
Find LCM and simplify
[tex]\sf = \dfrac{5+\sqrt{2}}{4}+\dfrac{2\sqrt{2}*4}{1*4}\\\\ =\dfrac{5+\sqrt{2}+8\sqrt{2}}{4} \ {\bf Combine \ like\ terms} \\\\ = \dfrac{5+9\sqrt{2}}{4}\\\\[/tex]
[tex]\sf \boxed{r=5}\\\\\boxed{s =-9}[/tex]
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