semplificare (sqrt(245m^3n))/(sqrt(320m^3n^5))

Soluzione

semplificare

\frac{245 m ^{3} n}{320 m ^{3} n ^{5}}

\frac{7}{8 n ^{2}}

Fasi della soluzione

\frac{245 m ^{3} n}{320 m ^{3} n ^{5}}

Applicare la regola della radice:

\frac{a}{b} = \frac{a}{b},

assumendo

a \geq 0, b \geq 0

\frac{245 m ^{3} n}{320 m ^{3} n ^{5}} = \frac{245 m ^{3} n}{320 m ^{3} n ^{5}}

= \frac{245 m ^{3} n}{320 m ^{3} n ^{5}}

Cancellare

\frac{245 m ^{3} n}{320 m ^{3} n ^{5}} : \frac{49}{64 n ^{4}}

= \frac{49}{64 n ^{4}}

Applicare la regola della radice:

\frac{a}{b} = \frac{a}{b},

assumendo

a \geq 0, b \geq 0

= \frac{49}{64 n ^{4}}

49 = 7

= \frac{7}{64 n ^{4}}

Semplificare

64 n^{4} : 8 n^{2}

= \frac{7}{8 n ^{2}}

\frac{100}{1} = \frac{x}{\frac{3}{2}} \cdot 5466313

s im pl i f y \frac{14}{7 ^{\frac{2}{3}}}

7 x^{2} - 6 x + 2 = 0

s im pl i f y \frac{6 4 ^{\frac{5}{3}}}{6 4 ^{\frac{4}{3}}}

4 x^{2} + 4 x + 1 = 9