Pls help me in this!!
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Nice question:)
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Answer:
194
Step-by-step explanation:
a² = 1/(7+4√3)
= 1/(49+48-56√3) = 1/(97-56√3)
⠀⠀⠀⠀⠀⠀⠀⠀∴ a² + 1/a² = 1/(97-56√3) + 97-56√3
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= [1+(97-56√3)²]/ [97-56√3]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= (1+9409+9408-10864√3)/(97-56√3)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= (18818 - 10864√3)/(97-56√3)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀= 194
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