What is 1/5 (-10+sqrt(-125)) ?

The solution to 1/5 (-10+sqrt(-125)) is -2+sqrt(5)i

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simplify 1/5 (-10+sqrt(-125))

simplify

\frac{1}{5} (- 10 + - 125)

- 2 + 5 i

Solution steps

\frac{1}{5} (- 10 + - 125)

- 125 = 55 i

= \frac{1}{5} (- 10 + 55 i)

Apply the fraction rule:

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

= \frac{1 \cdot ( - 10 + 5 5 i )}{5}

Apply rule:

1 \cdot a = a

1 \cdot (- 10 + 55 i) = (- 10 + 55 i)

= \frac{- 10 + 5 5 i}{5}

Factor out common term

5 : 5 (- 2 + 5 i)

= \frac{5 ( - 2 + 5 i )}{5}

Cancel the common factor:

5

= - 2 + 5 i

(3 + 2 i) (4 - 5 i)

35 + 75 - 10

(3 p^{3} q)^{\frac{3}{4}}

- \frac{2}{5} + \frac{1}{3}

\frac{x}{( 2 x ^{0} ) ^{3}}

What is 1/5 (-10+sqrt(-125)) ?
The solution to 1/5 (-10+sqrt(-125)) is -2+sqrt(5)i