What is (sqrt(-25a^2))/(sqrt(-5a^3)) ?

The solution to (sqrt(-25a^2))/(sqrt(-5a^3)) is sqrt(5/a)

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simplify (sqrt(-25a^2))/(sqrt(-5a^3))

simplify

\frac{- 25 a ^{2}}{- 5 a ^{3}}

\frac{5}{a}

Solution steps

\frac{- 25 a ^{2}}{- 5 a ^{3}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

\frac{- 25 a ^{2}}{- 5 a ^{3}} = \frac{- 25 a ^{2}}{- 5 a ^{3}}

= \frac{- 25 a ^{2}}{- 5 a ^{3}}

Cancel

\frac{- 25 a ^{2}}{- 5 a ^{3}} : \frac{5}{a}

= \frac{5}{a}

3 x (x - 4)

- 6 + (- 1)

\frac{a + b}{4} - \frac{a - b}{3}

4 (4 a + 5)

(25 x^{6})^{- 1.5}

What is (sqrt(-25a^2))/(sqrt(-5a^3)) ?
The solution to (sqrt(-25a^2))/(sqrt(-5a^3)) is sqrt(5/a)