Esercizio
$\left(2\sqrt{5}+5\right)\left(2\sqrt{5}-5\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Simplify the expression with radicals (2*5^(1/2)+5)(2*5^(1/2)-5). Applicare la formula: \left(a+b\right)\left(a+c\right)=a^2-b^2, dove a=2\sqrt{5}, b=5, c=-5, a+c=2\sqrt{5}-5 e a+b=2\sqrt{5}+5. Applicare la formula: \left(ab\right)^n=a^nb^n, dove a=2, b=\sqrt{5} 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{5}\right)^2, x=5 e x^a=\sqrt{5}.
Simplify the expression with radicals (2*5^(1/2)+5)(2*5^(1/2)-5)
Risposta finale al problema
$-5$