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