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Question 9 : If x = (4096)7+4โ3, then which of the following equals 64?
642 = 4096
x = (4096)7 + 4โ3
x = (642)7 + 4โ3
โx = (64)7 + 4โ3
โx( 1 รท (7 + 4โ3)) = 64
1 รท (7 + 4โ3) = \\frac{1}{7 + 4โ3}) = \\frac{1 ร (7 - 4โ3)}{(7 + 4โ3) ร (7 - 4โ3)}) = \\frac{7 - 4โ3}{49 - 48}) = 7 - 4โ3
โx( 1 รท (7 + 4โ3)) = 64
โx(7 - 4โ3) = 64
x(7/2 - (4โ3)/2) = 64
x(7/2 - 2โ3) = 64
\\frac{x^{7/2}}{x^{2โ3}})
The question is "If x = (4096)7+4โ3, then which of the following equals 64?"
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