Esercizio
$\frac{3}{4}\sqrt{\frac{32}{9}}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Simplify the expression with radicals 3/4(32/9)^(1/2). Applicare la formula: \left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}, dove a=32, b=9 e n=\frac{1}{2}. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=3, b=4, c=\sqrt{32}, a/b=\frac{3}{4}, f=3, c/f=\frac{\sqrt{32}}{3} e a/bc/f=\frac{3}{4}\cdot \frac{\sqrt{32}}{3}. Applicare la formula: \frac{ab}{c}=\frac{a}{c}b, dove ab=3\sqrt{32}, a=3, b=\sqrt{32}, c=12 e ab/c=\frac{3\sqrt{32}}{12}. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=4, c=\sqrt{32}, a/b=\frac{1}{4} e ca/b=\frac{1}{4}\sqrt{32}.
Simplify the expression with radicals 3/4(32/9)^(1/2)
Risposta finale al problema
$\sqrt{2}$
Risposta numerica esatta
$1.414214$