Esercizio
$\sqrt{\left(x-1\right)\left(x+2\right)^2\left(x-3\right)^3}$
Soluzione passo-passo
Impara online a risolvere i problemi di espressioni algebriche passo dopo passo. ((x-1)(x+2)^2(x-3)^3)^(1/2). Applicare la formula: \left(ab\right)^n=a^nb^n, dove a=\left(x+2\right)^2, b=\left(x-3\right)^3 e n=\frac{1}{2}. Applicare la formula: \left(x^a\right)^b=x^{ab}, dove a=2, b=\frac{1}{2}, x^a^b=\sqrt{\left(x+2\right)^2}, x=x+2 e x^a=\left(x+2\right)^2. Applicare la formula: \left(x^a\right)^b=x^{ab}, dove a=3, b=\frac{1}{2}, x^a^b=\sqrt{\left(x-3\right)^3}, x=x-3 e x^a=\left(x-3\right)^3. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=2, c=2, a/b=\frac{1}{2} e ca/b=2\cdot \left(\frac{1}{2}\right).
((x-1)(x+2)^2(x-3)^3)^(1/2)
Risposta finale al problema
$x\sqrt{x-1}\sqrt{\left(x-3\right)^{3}}+2\sqrt{x-1}\sqrt{\left(x-3\right)^{3}}$