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