2 câu trả lời
`\sqrt[4+4\sqrt[3]+3]=a+b\sqrt[3]`
`=>\sqrt[2^2+2.2\sqrt[3]+\sqrt[3]^2]=a+b\sqrt[3]`
`=>\sqrt[(2+\sqrt[3])^2]=a+b\sqrt[3]`
`=>|2+\sqrt[3]|=a+b\sqrt[3]`
`=>2+\sqrt[3]=a+b\sqrt[3]`
`=>a=2;b=1`
Vậy `a^2+b^2=2^2+1^2=4+1=5`
`\sqrt{4+4\sqrt{3}+3}=a+b\sqrt{3}`
`<=>\sqrt{2^2+2.2.\sqrt{3}+(\sqrt{3})^2}=a+b\sqrt{3}`
`<=>\sqrt{(2+\sqrt{3})^2}=a+b\sqrt{3}`
`<=>|2+\sqrt{3}|=a+b\sqrt{3}`
`<=>2+\sqrt{3}=a+b\sqrt{3}`
`<=>`$\begin{cases} a=2\\b=1 \end{cases}$
`=>a^2+b^2=2^2+1=4+1=5`
Vậy `a^2+b^2=5`
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