Esercizio
$\left(2\sqrt{3}+\sqrt{10}\right)\left(2\sqrt{3}-\sqrt{10}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di fattore per differenza dei quadrati passo dopo passo. Simplify the expression with radicals (2*3^(1/2)+10^(1/2))(2*3^(1/2)-*10^(1/2)). Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=2\sqrt{3}, b=\sqrt{10}, c=-\sqrt{10}, a+c=2\sqrt{3}-\sqrt{10} e a+b=2\sqrt{3}+\sqrt{10}. Applicare la formula: \left(ab\right)^n=a^nb^n, dove a=2, b=\sqrt{3} e n=2. Applicare la formula: a^b=a^b, dove a=2, b=2 e a^b=2^2. Applicare la formula: \left(x^a\right)^b=x^{ab}, 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 (2*3^(1/2)+10^(1/2))(2*3^(1/2)-*10^(1/2))
Risposta finale al problema
$2$