If x=3+√8 and y=3-√8 find the value of 1/x^2 + 1/y^3
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Answer:
GIVEN ;- X=3+ROOT8 AND Y=3-ROOT8
Step-by-step explanation:
NOW, 1/(3+ROOT8)^2+1/(3+ROOT8)^2
1/(9+8+6ROOT8) + 1/(9+8-6ROOT8)
1/(17+6ROOT8) + 1/(17-6ROOT8)
TAKING LCM, WE GET
17-6ROOT8 + 17+6ROOT8/(17+6ROOT8)(17-6ROOT8)
34/289-102ROOT8+102ROOT8-288
34/1=34
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