Esercizio
$\left(\sqrt[2]{3}+1\right)^8$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Simplify the expression with radicals (3^(1/2)+1)^8. Applicare la formula: \left(a+b\right)^n=newton\left(\left(a+b\right)^n\right), dove a=\sqrt{3}, b=1, a+b=\sqrt{3}+1 e n=8. Applicare la formula: x^1=x. Applicare la formula: x^0=1. Applicare la formula: 1^x=1, dove x=2.
Simplify the expression with radicals (3^(1/2)+1)^8
Risposta finale al problema
$81\left(\begin{matrix}8\\0\end{matrix}\right)+\left(\begin{matrix}8\\1\end{matrix}\right)\sqrt{\left(3\right)^{7}}+27\left(\begin{matrix}8\\2\end{matrix}\right)+\left(\begin{matrix}8\\3\end{matrix}\right)\sqrt{\left(3\right)^{5}}+9\left(\begin{matrix}8\\4\end{matrix}\right)+\left(\begin{matrix}8\\5\end{matrix}\right)\sqrt{\left(3\right)^{3}}+3\left(\begin{matrix}8\\6\end{matrix}\right)+\left(\begin{matrix}8\\7\end{matrix}\right)\sqrt{3}+\left(\begin{matrix}8\\8\end{matrix}\right)$