What is sqrt((-9)/(25)) ?

The solution to sqrt((-9)/(25)) is (3i)/5

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simplify sqrt((-9)/(25))

simplify

\frac{- 9}{25}

\frac{3 i}{5}

Solution steps

\frac{- 9}{25}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{9}{25}

Apply radical rule:

- a = - 1 a

- \frac{9}{25} = - 1 \frac{9}{25}

= - 1 \frac{9}{25}

Apply imaginary number rule:

- 1 = i

= i \frac{9}{25}

Apply radical rule:

assuming

a \geq 0, b \geq 0

\frac{9}{25} = \frac{9}{25}

= i \frac{9}{25}

25 = 5

= i \frac{9}{5}

9 = 3

= i \frac{3}{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 i}{5}

+ 5 b^{2} k^{2} + 25 b k^{2} - 250 k^{2}

- \frac{3}{5} + 4

lo g_{10} (0), 1

\frac{( x + 1 )}{( x ^{2} - 1 )}