What is (sqrt(245m^3n))/(sqrt(320m^3n^5)) ?

The solution to (sqrt(245m^3n))/(sqrt(320m^3n^5)) is 7/(8n^2)

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

simplify

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

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

Solution steps

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

Apply radical rule:

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

assuming

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}}

Cancel

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

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

49 = 7

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

Simplify

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

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

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

\frac{14}{7 ^{\frac{2}{3}}}

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

3 (x - 6) = 4 - 2 (x + 2)

\frac{6 4 ^{\frac{5}{3}}}{6 4 ^{\frac{4}{3}}}

What is (sqrt(245m^3n))/(sqrt(320m^3n^5)) ?
The solution to (sqrt(245m^3n))/(sqrt(320m^3n^5)) is 7/(8n^2)