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