Wykonaj działanie:
2√2+4√4+8√8=2*(2^1/2)+4*(4^1/4)+8*(8^1/6)=(2^3/2)+2²*[(2²)^1/4]+2³*[(2³)^1/6]=(2^3/2)+2*(2^1/2)+2³*(2^1/2)=(2^3/2)+(2^5/2)+(2^7/2)=2^3/2(1+2+2²)=2√2*7=14√2
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2√2+4√4+8√8=2*(2^1/2)+4*(4^1/4)+8*(8^1/6)=(2^3/2)+2²*[(2²)^1/4]+2³*[(2³)^1/6]=(2^3/2)+2*(2^1/2)+2³*(2^1/2)=(2^3/2)+(2^5/2)+(2^7/2)=2^3/2(1+2+2²)=2√2*7=14√2