Esercizio
$\frac{4x}{\sqrt{2x-\sqrt{x}}}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Rationalize and simplify the expression (4x)/((2x-x^(1/2))^(1/2)). Applicare la formula: \frac{a}{b}=\frac{a}{b}\frac{radicalfactor\left(b\right)}{radicalfactor\left(b\right)}, dove a=4x e b=\sqrt{2x-\sqrt{x}}. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=4x, b=\sqrt{2x-\sqrt{x}}, c=\sqrt{2x-\sqrt{x}}, a/b=\frac{4x}{\sqrt{2x-\sqrt{x}}}, f=\sqrt{2x-\sqrt{x}}, c/f=\frac{\sqrt{2x-\sqrt{x}}}{\sqrt{2x-\sqrt{x}}} e a/bc/f=\frac{4x}{\sqrt{2x-\sqrt{x}}}\frac{\sqrt{2x-\sqrt{x}}}{\sqrt{2x-\sqrt{x}}}. Applicare la formula: x\cdot x=x^2, dove x=\sqrt{2x-\sqrt{x}}. Applicare la formula: \frac{a}{b}=\frac{a}{b}\frac{conjugate\left(b\right)}{conjugate\left(b\right)}, dove a=4x\sqrt{2x-\sqrt{x}}, b=2x-\sqrt{x} e a/b=\frac{4x\sqrt{2x-\sqrt{x}}}{2x-\sqrt{x}}.
Rationalize and simplify the expression (4x)/((2x-x^(1/2))^(1/2))
Risposta finale al problema
$\frac{4x\sqrt{2x-\sqrt{x}}\left(2x+\sqrt{x}\right)}{\left(2x\right)^2-x}$